400555425600 has 504 divisors, whose sum is σ = 1558341072288. Its totient is φ = 96776294400.

The previous prime is 400555425559. The next prime is 400555425617. The reversal of 400555425600 is 6524555004.

400555425600 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 5 + 5 + 42 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48624682 + ... + 48632918.

It is an arithmetic number, because the mean of its divisors is an integer number (3091946572).

Almost surely, 2^400555425600 is an apocalyptic number.

400555425600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400555425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779170536144).

400555425600 is an abundant number, since it is smaller than the sum of its proper divisors (1157785646688).

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

400555425600 is a wasteful number, since it uses less digits than its factorization.

400555425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 400555425600 in words is "four hundred billion, five hundred fifty-five million, four hundred twenty-five thousand, six hundred".