401670936576 has 720 divisors, whose sum is σ = 1449486838800. Its totient is φ = 104963309568.

The previous prime is 401670936547. The next prime is 401670936617. The reversal of 401670936576 is 675639076104.

It is a happy number.

401670936576 is a `hidden beast` number, since 4 + 0 + 1 + 67 + 0 + 9 + 3 + 6 + 576 = 666.

It is a super-2 number, since 2×401670936576² (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 59 ways as a sum of consecutive naturals, for example, 3685054410 + ... + 3685054518.

It is an arithmetic number, because the mean of its divisors is an integer number (2013176165).

Almost surely, 2^401670936576 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 401670936576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724743419400).

401670936576 is an abundant number, since it is smaller than the sum of its proper divisors (1047815902224).

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

401670936576 is an equidigital number, since it uses as much as digits as its factorization.

401670936576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 401670936576 in words is "four hundred one billion, six hundred seventy million, nine hundred thirty-six thousand, five hundred seventy-six".