401336224000 has 144 divisors (see below), whose sum is σ = 1008635387760. Its totient is φ = 159112396800.

The previous prime is 401336223997. The next prime is 401336224013. The reversal of 401336224000 is 422633104.

It can be written as a sum of positive squares in 8 ways, for example, as 116504803584 + 284831420416 = 341328^2 + 533696^2 .

It is a super-2 number, since 2×401336224000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560506 + ... + 3671494.

It is an arithmetic number, because the mean of its divisors is an integer number (7004412415).

Almost surely, 2^401336224000 is an apocalyptic number.

401336224000 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 401336224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504317693880).

401336224000 is an abundant number, since it is smaller than the sum of its proper divisors (607299163760).

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

401336224000 is a wasteful number, since it uses less digits than its factorization.

401336224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111133 (or 111109 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 401336224000 its reverse (422633104), we get a palindrome (401758857104).

The spelling of 401336224000 in words is "four hundred one billion, three hundred thirty-six million, two hundred twenty-four thousand".