400440404016 has 120 divisors (see below), whose sum is σ = 1140690842304. Its totient is φ = 131107870080.

The previous prime is 400440403973. The next prime is 400440404053. The reversal of 400440404016 is 610404044004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3288051 + ... + 3407661.

Almost surely, 2^400440404016 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 400440404016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570345421152).

400440404016 is an abundant number, since it is smaller than the sum of its proper divisors (740250438288).

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

400440404016 is a wasteful number, since it uses less digits than its factorization.

400440404016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120039 (or 120030 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 400440404016 in words is "four hundred billion, four hundred forty million, four hundred four thousand, sixteen".