400506508800 has 1200 divisors, whose sum is σ = 1622337628032. Its totient is φ = 97144012800.

The previous prime is 400506508777. The next prime is 400506508811. The reversal of 400506508800 is 8805605004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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 119 ways as a sum of consecutive naturals, for example, 546393234 + ... + 546393966.

Almost surely, 2^400506508800 is an apocalyptic number.

400506508800 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 400506508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811168814016).

400506508800 is an abundant number, since it is smaller than the sum of its proper divisors (1221831119232).

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

400506508800 is a wasteful number, since it uses less digits than its factorization.

400506508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 400506508800 in words is "four hundred billion, five hundred six million, five hundred eight thousand, eight hundred".