401324224012400 has 120 divisors (see below), whose sum is σ = 1092999212791920. Its totient is φ = 140382238648320.

The previous prime is 401324224012319. The next prime is 401324224012403. The reversal of 401324224012400 is 4210422423104.

It is a happy number.

It is a super-2 number, since 2×401324224012400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401324224012403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2030894237 + ... + 2031091836.

It is an arithmetic number, because the mean of its divisors is an integer number (9108326773266).

Almost surely, 2^{401324224012400} is an apocalyptic number.

401324224012400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401324224012400 is an abundant number, since it is smaller than the sum of its proper divisors (691674988779520).

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

401324224012400 is a wasteful number, since it uses less digits than its factorization.

401324224012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061986123 (or 4061986112 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 401324224012400 its reverse (4210422423104), we get a palindrome (405534646435504).

The spelling of 401324224012400 in words is "four hundred one trillion, three hundred twenty-four billion, two hundred twenty-four million, twelve thousand, four hundred".