400637805365952 has 224 divisors, whose sum is σ = 1468427165898240. Its totient is φ = 104061767592960.

The previous prime is 400637805365947. The next prime is 400637805365969. The reversal of 400637805365952 is 259563508736004.

It is a happy number.

400637805365952 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 3 + 7 + 8 + 0 + 5 + 36 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 400637805365952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505390203 + ... + 1505656314.

Almost surely, 2^{400637805365952} is an apocalyptic number.

400637805365952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

400637805365952 is an abundant number, since it is smaller than the sum of its proper divisors (1067789360532288).

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

400637805365952 is a wasteful number, since it uses less digits than its factorization.

400637805365952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011046556 (or 3011046540 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 400637805365952 in words is "four hundred trillion, six hundred thirty-seven billion, eight hundred five million, three hundred sixty-five thousand, nine hundred fifty-two".