401407217616 has 160 divisors (see below), whose sum is σ = 1103072256000. Its totient is φ = 125424889344.

The previous prime is 401407217591. The next prime is 401407217633. The reversal of 401407217616 is 616712704104.

It is a super-2 number, since 2×401407217616² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85786765 + ... + 85791443.

It is an arithmetic number, because the mean of its divisors is an integer number (6894201600).

Almost surely, 2^401407217616 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 401407217616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551536128000).

401407217616 is an abundant number, since it is smaller than the sum of its proper divisors (701665038384).

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

401407217616 is a wasteful number, since it uses less digits than its factorization.

401407217616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 401407217616 in words is "four hundred one billion, four hundred seven million, two hundred seventeen thousand, six hundred sixteen".