400420440404016 has 640 divisors, whose sum is σ = 1174281801154560. Its totient is φ = 117278998087680.

The previous prime is 400420440403967. The next prime is 400420440404113. The reversal of 400420440404016 is 610404044024004.

It is a super-2 number, since 2×400420440404016² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51847780731 + ... + 51847788453.

It is an arithmetic number, because the mean of its divisors is an integer number (1834815314304).

Almost surely, 2^{400420440404016} is an apocalyptic number.

400420440404016 is a gapful number since it is divisible by the number (46) 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 400420440404016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587140900577280).

400420440404016 is an abundant number, since it is smaller than the sum of its proper divisors (773861360750544).

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

400420440404016 is a wasteful number, since it uses less digits than its factorization.

400420440404016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 7978 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 400420440404016 in words is "four hundred trillion, four hundred twenty billion, four hundred forty million, four hundred four thousand, sixteen".