400527013036800 has 1728 divisors, whose sum is σ = 1547024740190720. Its totient is φ = 90399351767040.

The previous prime is 400527013036789. The next prime is 400527013036807. The reversal of 400527013036800 is 8630310725004.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (400527013036807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33865472487 + ... + 33865484313.

Almost surely, 2^{400527013036800} is an apocalyptic number.

400527013036800 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 400527013036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773512370095360).

400527013036800 is an abundant number, since it is smaller than the sum of its proper divisors (1146497727153920).

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

400527013036800 is a wasteful number, since it uses less digits than its factorization.

400527013036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12118 (or 12099 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 400527013036800 in words is "four hundred trillion, five hundred twenty-seven billion, thirteen million, thirty-six thousand, eight hundred".