3415727024040 has 64 divisors (see below), whose sum is σ = 10249245912960. Its totient is φ = 910676998400.

The previous prime is 3415727024029. The next prime is 3415727024093. The reversal of 3415727024040 is 404207275143.

It is a super-2 number, since 2×3415727024040² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3415727024040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2269311 + ... + 3461390.

It is an arithmetic number, because the mean of its divisors is an integer number (160144467390).

Almost surely, 2^{3415727024040} is an apocalyptic number.

3415727024040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3415727024040 is an abundant number, since it is smaller than the sum of its proper divisors (6833518888920).

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

3415727024040 is a wasteful number, since it uses less digits than its factorization.

3415727024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735682 (or 5735678 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 3415727024040 in words is "three trillion, four hundred fifteen billion, seven hundred twenty-seven million, twenty-four thousand, forty".