401936274432 has 1056 divisors, whose sum is σ = 1515953307648. Its totient is φ = 100362240000.

The previous prime is 401936274419. The next prime is 401936274479. The reversal of 401936274432 is 234472639104.

401936274432 is a `hidden beast` number, since 4 + 0 + 1 + 93 + 62 + 74 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2661829557 + ... + 2661829707.

Almost surely, 2^401936274432 is an apocalyptic number.

401936274432 is a gapful number since it is divisible by the number (42) 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 401936274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757976653824).

401936274432 is an abundant number, since it is smaller than the sum of its proper divisors (1114017033216).

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

401936274432 is a wasteful number, since it uses less digits than its factorization.

401936274432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 401936274432 in words is "four hundred one billion, nine hundred thirty-six million, two hundred seventy-four thousand, four hundred thirty-two".