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4008040404040 = 235290119345379
BaseRepresentation
bin111010010100110001110…
…100110001010001001000
3112012011110020010112202101
4322110301310301101020
51011131431320412130
612305133543443144
7562366656213241
oct72246164612110
915164406115671
104008040404040
111305889356192
125489507564b4
13230c5881726a
14dbdc1123cc8
156e3d1cd71ca
hex3a531d31448

4008040404040 has 32 divisors (see below), whose sum is σ = 9018148104000. Its totient is φ = 1603205993664.

The previous prime is 4008040404007. The next prime is 4008040404127. The reversal of 4008040404040 is 404040408004.

4008040404040 is a modest number, since divided by 40404040 gives 40080 as remainder.

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, 11432071 + ... + 11777449.

It is an arithmetic number, because the mean of its divisors is an integer number (281817128250).

Almost surely, 24008040404040 is an apocalyptic number.

4008040404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008040404040 is an abundant number, since it is smaller than the sum of its proper divisors (5010107699960).

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

4008040404040 is a wasteful number, since it uses less digits than its factorization.

4008040404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635509 (or 635505 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 4008040404040 in words is "four trillion, eight billion, forty million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 290119 345379 580238 690758 1160476 1381516 1450595 1726895 2320952 2763032 2901190 3453790 5802380 6907580 11604760 13815160 100201010101 200402020202 400804040404 501005050505 801608080808 1002010101010 2004020202020 4008040404040