400435151364 has 60 divisors (see below), whose sum is σ = 1049507959500. Its totient is φ = 133135209792.

The previous prime is 400435151359. The next prime is 400435151407. The reversal of 400435151364 is 463151534004.

400435151364 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 3 + 515 + 136 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193783083264 + 206652068100 = 440208^2 + 454590^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1462539 + ... + 1714610.

It is an arithmetic number, because the mean of its divisors is an integer number (17491799325).

Almost surely, 2^400435151364 is an apocalyptic number.

It is an amenable number.

400435151364 is an abundant number, since it is smaller than the sum of its proper divisors (649072808136).

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

400435151364 is a wasteful number, since it uses less digits than its factorization.

400435151364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177554 (or 3177543 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 400435151364 its reverse (463151534004), we get a palindrome (863586685368).

The spelling of 400435151364 in words is "four hundred billion, four hundred thirty-five million, one hundred fifty-one thousand, three hundred sixty-four".