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4042111133440 = 28512724865349
BaseRepresentation
bin111010110100100000100…
…110010010011100000000
3112022102101200012221002001
4322310200212102130000
51012211220422232230
612332530433433344
7565014165510652
oct72644046223400
915272350187061
104042111133440
1113192823a2496
1255347aa0b854
13234228366583
14dd8d40546d2
1570227ea80ca
hex3ad20992700

4042111133440 has 72 divisors (see below), whose sum is σ = 9758356876800. Its totient is φ = 1604113330176.

The previous prime is 4042111133393. The next prime is 4042111133471. The reversal of 4042111133440 is 443311112404.

It is a junction number, because it is equal to n+sod(n) for n = 4042111133399 and 4042111133408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12270115 + ... + 12595234.

It is an arithmetic number, because the mean of its divisors is an integer number (135532734400).

Almost surely, 24042111133440 is an apocalyptic number.

4042111133440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042111133440 is an abundant number, since it is smaller than the sum of its proper divisors (5716245743360).

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

4042111133440 is a wasteful number, since it uses less digits than its factorization.

4042111133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24865497 (or 24865483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4042111133440 its reverse (443311112404), we get a palindrome (4485422245844).

The spelling of 4042111133440 in words is "four trillion, forty-two billion, one hundred eleven million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 635 640 1016 1270 1280 2032 2540 4064 5080 8128 10160 16256 20320 32512 40640 81280 162560 24865349 49730698 99461396 124326745 198922792 248653490 397845584 497306980 795691168 994613960 1591382336 1989227920 3157899323 3182764672 3978455840 6315798646 6365529344 7956911680 12631597292 15789496615 15913823360 25263194584 31578993230 31827646720 50526389168 63157986460 101052778336 126315972920 202105556672 252631945840 404211113344 505263891680 808422226688 1010527783360 2021055566720 4042111133440