400801478064 has 80 divisors (see below), whose sum is σ = 1116785521152. Its totient is φ = 123131614464.

The previous prime is 400801478053. The next prime is 400801478107. The reversal of 400801478064 is 460874108004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98232 + ... + 900695.

Almost surely, 2^400801478064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400801478064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558392760576).

400801478064 is an abundant number, since it is smaller than the sum of its proper divisors (715984043088).

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

400801478064 is a wasteful number, since it uses less digits than its factorization.

400801478064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999594 (or 999588 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 400801478064 in words is "four hundred billion, eight hundred one million, four hundred seventy-eight thousand, sixty-four".