40007264461731 has 48 divisors (see below), whose sum is σ = 67656083302080. Its totient is φ = 22303199600640.

The previous prime is 40007264461727. The next prime is 40007264461739. The reversal of 40007264461731 is 13716446270004.

40007264461731 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 7 + 26 + 4 + 4 + 617 + 3 + 1 = 666.

It is not a de Polignac number, because 40007264461731 - 2² = 40007264461727 is a prime.

It is a super-3 number, since 3×40007264461731³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (40007264461739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134914381 + ... + 135210593.

It is an arithmetic number, because the mean of its divisors is an integer number (1409501735460).

Almost surely, 2^{40007264461731} is an apocalyptic number.

40007264461731 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

40007264461731 is a deficient number, since it is larger than the sum of its proper divisors (27648818840349).

40007264461731 is a wasteful number, since it uses less digits than its factorization.

40007264461731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348556 (or 348553 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 40007264461731 in words is "forty trillion, seven billion, two hundred sixty-four million, four hundred sixty-one thousand, seven hundred thirty-one".