400857600000 has 1248 divisors, whose sum is σ = 1590999919488. Its totient is φ = 88473600000.

The previous prime is 400857599939. The next prime is 400857600089. The reversal of 400857600000 is 6758004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5491199964 + ... + 5491200036.

Almost surely, 2^400857600000 is an apocalyptic number.

400857600000 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 400857600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795499959744).

400857600000 is an abundant number, since it is smaller than the sum of its proper divisors (1190142319488).

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

400857600000 is an equidigital number, since it uses as much as digits as its factorization.

400857600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 400857600000 in words is "four hundred billion, eight hundred fifty-seven million, six hundred thousand".