400414402377 has 64 divisors (see below), whose sum is σ = 652886142720. Its totient is φ = 242525352960.

The previous prime is 400414402291. The next prime is 400414402379. The reversal of 400414402377 is 773204414004.

It is a happy number.

400414402377 is a `hidden beast` number, since 4 + 0 + 0 + 414 + 4 + 0 + 237 + 7 = 666.

It is not a de Polignac number, because 400414402377 - 2¹⁰ = 400414401353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400414402379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93182493 + ... + 93186789.

It is an arithmetic number, because the mean of its divisors is an integer number (10201345980).

Almost surely, 2^400414402377 is an apocalyptic number.

It is an amenable number.

400414402377 is a deficient number, since it is larger than the sum of its proper divisors (252471740343).

400414402377 is a wasteful number, since it uses less digits than its factorization.

400414402377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 400414402377 in words is "four hundred billion, four hundred fourteen million, four hundred two thousand, three hundred seventy-seven".