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4440442042040 = 2352341117721157
BaseRepresentation
bin100000010011101111011…
…1110000111011010111000
3120201111120001002200002212
41000213132332013122320
51040223011130321130
613235524431314252
7635545202411204
oct100473676073270
916644501080085
104440442042040
1114621a9852804
125b870707b988
13262968c5aa64
14114cc0699b04
157a78d0a5e95
hex409def876b8

4440442042040 has 64 divisors (see below), whose sum is σ = 10679663453760. Its totient is φ = 1657513876480.

The previous prime is 4440442042039. The next prime is 4440442042097. The reversal of 4440442042040 is 402402440444.

It is a junction number, because it is equal to n+sod(n) for n = 4440442041988 and 4440442042006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58822859 + ... + 58898298.

It is an arithmetic number, because the mean of its divisors is an integer number (166869741465).

Almost surely, 24440442042040 is an apocalyptic number.

4440442042040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440442042040 is an abundant number, since it is smaller than the sum of its proper divisors (6239221411720).

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

4440442042040 is a wasteful number, since it uses less digits than its factorization.

4440442042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117721232 (or 117721228 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4440442042040 its reverse (402402440444), we get a palindrome (4842844482484).

The spelling of 4440442042040 in words is "four trillion, four hundred forty billion, four hundred forty-two million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 3772 4715 7544 9430 18860 37720 117721157 235442314 470884628 588605785 941769256 1177211570 2354423140 2707586611 4708846280 4826567437 5415173222 9653134874 10830346444 13537933055 19306269748 21660692888 24132837185 27075866110 38612539496 48265674370 54151732220 96531348740 108303464440 111011051051 193062697480 222022102102 444044204204 555055255255 888088408408 1110110510510 2220221021020 4440442042040