401520322112 has 224 divisors, whose sum is σ = 1002706656000. Its totient is φ = 158516822016.

The previous prime is 401520322081. The next prime is 401520322141. The reversal of 401520322112 is 211223025104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×401520322112² (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, 176646608 + ... + 176648880.

It is an arithmetic number, because the mean of its divisors is an integer number (4476369000).

Almost surely, 2^401520322112 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 401520322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501353328000).

401520322112 is an abundant number, since it is smaller than the sum of its proper divisors (601186333888).

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

401520322112 is a wasteful number, since it uses less digits than its factorization.

401520322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 401520322112 its reverse (211223025104), we get a palindrome (612743347216).

The spelling of 401520322112 in words is "four hundred one billion, five hundred twenty million, three hundred twenty-two thousand, one hundred twelve".