40400150502564 has 18 divisors (see below), whose sum is σ = 102122602659350. Its totient is φ = 13466716834176.

The previous prime is 40400150502541. The next prime is 40400150502587. The reversal of 40400150502564 is 46520505100404.

40400150502564 is a `hidden beast` number, since 4 + 0 + 40 + 0 + 1 + 5 + 0 + 50 + 2 + 564 = 666.

40400150502564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40400150502541) and next prime (40400150502587).

It can be written as a sum of positive squares in only one way, i.e., 40039660736100 + 360489766464 = 6327690^2 + 600408^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1122226402849 = 40400150502564 / (4 + 0 + 4 + 0 + 0 + 1 + 5 + 0 + 5 + 0 + 2 + 5 + 6 + 4).

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 5 ways as a sum of consecutive naturals, for example, 561113201389 + ... + 561113201460.

Almost surely, 2^{40400150502564} is an apocalyptic number.

It is an amenable number.

40400150502564 is an abundant number, since it is smaller than the sum of its proper divisors (61722452156786).

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

40400150502564 is a wasteful number, since it uses less digits than its factorization.

40400150502564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122226402859 (or 1122226402854 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 40400150502564 its reverse (46520505100404), we get a palindrome (86920655602968).

The spelling of 40400150502564 in words is "forty trillion, four hundred billion, one hundred fifty million, five hundred two thousand, five hundred sixty-four".