401633905632 has 96 divisors (see below), whose sum is σ = 1061777354400. Its totient is φ = 132927774720.

The previous prime is 401633905627. The next prime is 401633905661. The reversal of 401633905632 is 236509336104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401633905632² (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 15 ways as a sum of consecutive naturals, for example, 59401132 + ... + 59407892.

It is an arithmetic number, because the mean of its divisors is an integer number (11060180775).

Almost surely, 2^401633905632 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 401633905632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530888677200).

401633905632 is an abundant number, since it is smaller than the sum of its proper divisors (660143448768).

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

401633905632 is a wasteful number, since it uses less digits than its factorization.

401633905632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11076 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 401633905632 in words is "four hundred one billion, six hundred thirty-three million, nine hundred five thousand, six hundred thirty-two".