401319823520 has 192 divisors, whose sum is σ = 1206194976000. Its totient is φ = 125086510080.

The previous prime is 401319823453. The next prime is 401319823537. The reversal of 401319823520 is 25328913104.

It is a super-2 number, since 2×401319823520² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271286 + ... + 936074.

It is an arithmetic number, because the mean of its divisors is an integer number (6282265500).

Almost surely, 2^401319823520 is an apocalyptic number.

401319823520 is a gapful number since it is divisible by the number (40) 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 401319823520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603097488000).

401319823520 is an abundant number, since it is smaller than the sum of its proper divisors (804875152480).

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

401319823520 is a wasteful number, since it uses less digits than its factorization.

401319823520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664836 (or 664814 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 401319823520 in words is "four hundred one billion, three hundred nineteen million, eight hundred twenty-three thousand, five hundred twenty".