400417475400 has 72 divisors (see below), whose sum is σ = 1344735360930. Its totient is φ = 106777992960.

The previous prime is 400417475377. The next prime is 400417475401. The reversal of 400417475400 is 4574714004.

It is a happy number.

400417475400 is a `hidden beast` number, since 4 + 0 + 0 + 41 + 74 + 7 + 540 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 359719254756 + 40698220644 = 599766^2 + 201738^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (400417475401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111225277 + ... + 111228876.

Almost surely, 2^400417475400 is an apocalyptic number.

400417475400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400417475400 is an abundant number, since it is smaller than the sum of its proper divisors (944317885530).

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

400417475400 is a wasteful number, since it uses less digits than its factorization.

400417475400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222454175 (or 222454163 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 400417475400 in words is "four hundred billion, four hundred seventeen million, four hundred seventy-five thousand, four hundred".