40131765146752 has 64 divisors (see below), whose sum is σ = 84849354627840. Its totient is φ = 18841718149120.

The previous prime is 40131765146743. The next prime is 40131765146801. The reversal of 40131765146752 is 25764156713104.

40131765146752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×40131765146752² (a number of 28 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 40131765146752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20457628 + ... + 22333339.

It is an arithmetic number, because the mean of its divisors is an integer number (1325771166060).

Almost surely, 2^{40131765146752} is an apocalyptic number.

It is an amenable number.

40131765146752 is an abundant number, since it is smaller than the sum of its proper divisors (44717589481088).

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

40131765146752 is a wasteful number, since it uses less digits than its factorization.

40131765146752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42791429 (or 42791417 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 40131765146752 in words is "forty trillion, one hundred thirty-one billion, seven hundred sixty-five million, one hundred forty-six thousand, seven hundred fifty-two".