401321353224000 has 896 divisors, whose sum is σ = 1557147639250944. Its totient is φ = 90058045440000.

The previous prime is 401321353223983. The next prime is 401321353224019. The reversal of 401321353224000 is 422353123104.

It is a super-2 number, since 2×401321353224000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187165972 + ... + 189298028.

Almost surely, 2^{401321353224000} is an apocalyptic number.

401321353224000 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 401321353224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778573819625472).

401321353224000 is an abundant number, since it is smaller than the sum of its proper divisors (1155826286026944).

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

401321353224000 is a wasteful number, since it uses less digits than its factorization.

401321353224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132152 (or 2132132 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 401321353224000 in words is "four hundred one trillion, three hundred twenty-one billion, three hundred fifty-three million, two hundred twenty-four thousand".