40552144125504 has 112 divisors (see below), whose sum is σ = 117056018888256. Its totient is φ = 12287711232000.

The previous prime is 40552144125487. The next prime is 40552144125569.

40552144125504 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31507404 + ... + 32769204.

It is an arithmetic number, because the mean of its divisors is an integer number (1045143025788).

Almost surely, 2^{40552144125504} is an apocalyptic number.

40552144125504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40552144125504 is an abundant number, since it is smaller than the sum of its proper divisors (76503874762752).

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

40552144125504 is a wasteful number, since it uses less digits than its factorization.

40552144125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277044 (or 1277034 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

The spelling of 40552144125504 in words is "forty trillion, five hundred fifty-two billion, one hundred forty-four million, one hundred twenty-five thousand, five hundred four".