401326933824 has 196 divisors, whose sum is σ = 1196528610240. Its totient is φ = 133495568640.

The previous prime is 401326933793. The next prime is 401326933853. The reversal of 401326933824 is 428339623104.

401326933824 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 269 + 3 + 382 + 4 = 666.

It is a super-2 number, since 2×401326933824² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401326933824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22899337 + ... + 22916855.

Almost surely, 2^401326933824 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 401326933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598264305120).

401326933824 is an abundant number, since it is smaller than the sum of its proper divisors (795201676416).

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

401326933824 is an equidigital number, since it uses as much as digits as its factorization.

401326933824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18040 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 401326933824 in words is "four hundred one billion, three hundred twenty-six million, nine hundred thirty-three thousand, eight hundred twenty-four".