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4405121400040 = 2351731794637681
BaseRepresentation
bin100000000011010010110…
…1100100011110011101000
3120121010101111002011000221
41000012211230203303220
51034133142034300130
613211403531335424
7633155005043434
oct100064554436350
916533344064027
104405121400040
111449224209689
125b18aa2b1574
1325c52a48c8aa
141132cd7659c4
15798c22da87a
hex401a5b23ce8

4405121400040 has 128 divisors (see below), whose sum is σ = 10047466022400. Its totient is φ = 1738087464960.

The previous prime is 4405121400037. The next prime is 4405121400049. The reversal of 4405121400040 is 400041215044.

It is a junction number, because it is equal to n+sod(n) for n = 4405121399978 and 4405121400014.

It is not an unprimeable number, because it can be changed into a prime (4405121400049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573505000 + ... + 573512680.

It is an arithmetic number, because the mean of its divisors is an integer number (78495828300).

Almost surely, 24405121400040 is an apocalyptic number.

4405121400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4405121400040 is an abundant number, since it is smaller than the sum of its proper divisors (5642344622360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4405121400040 is a wasteful number, since it uses less digits than its factorization.

4405121400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507 (or 8503 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 4405121400040 its reverse (400041215044), we get a palindrome (4805162615084).

The spelling of 4405121400040 in words is "four trillion, four hundred five billion, one hundred twenty-one million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 173 179 346 358 463 692 716 865 895 926 1384 1432 1730 1790 1852 2315 3460 3580 3704 4630 6920 7160 7681 9260 15362 18520 30724 30967 38405 61448 61934 76810 80099 82877 123868 153620 154835 160198 165754 247736 307240 309670 320396 331508 400495 414385 619340 640792 663016 800990 828770 1238680 1328813 1374899 1601980 1657540 2657626 2749798 3203960 3315080 3556303 5315252 5499596 6644065 6874495 7112606 10630504 10999192 13288130 13748990 14225212 14337721 17781515 26576260 27497980 28450424 28675442 35563030 53152520 54995960 57350884 71126060 71688605 114701768 142252120 143377210 237857527 286754420 475715054 573508840 615240419 636578237 951430108 1189287635 1230480838 1273156474 1902860216 2378575270 2460961676 2546312948 3076202095 3182891185 4757150540 4921923352 5092625896 6152404190 6365782370 9514301080 12304808380 12731564740 24609616760 25463129480 110128035001 220256070002 440512140004 550640175005 881024280008 1101280350010 2202560700020 4405121400040