401924007936 has 768 divisors, whose sum is σ = 1350571622400. Its totient is φ = 118025994240.

The previous prime is 401924007931. The next prime is 401924007959. The reversal of 401924007936 is 639700429104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-4 number, since 4×401924007936⁴ (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401924007891 and 401924007900.

It is not an unprimeable number, because it can be changed into a prime (401924007931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3164755905 + ... + 3164756031.

It is an arithmetic number, because the mean of its divisors is an integer number (1758556800).

Almost surely, 2^401924007936 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 401924007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675285811200).

401924007936 is an abundant number, since it is smaller than the sum of its proper divisors (948647614464).

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

401924007936 is a wasteful number, since it uses less digits than its factorization.

401924007936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 401924007936 in words is "four hundred one billion, nine hundred twenty-four million, seven thousand, nine hundred thirty-six".