401132212320 has 288 divisors, whose sum is σ = 1478090073600. Its totient is φ = 91174185984.

The previous prime is 401132212309. The next prime is 401132212421. The reversal of 401132212320 is 23212231104.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4162441 + ... + 4257719.

It is an arithmetic number, because the mean of its divisors is an integer number (5132257200).

Almost surely, 2^401132212320 is an apocalyptic number.

401132212320 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 401132212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739045036800).

401132212320 is an abundant number, since it is smaller than the sum of its proper divisors (1076957861280).

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

401132212320 is a wasteful number, since it uses less digits than its factorization.

401132212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95490 (or 95475 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 401132212320 its reverse (23212231104), we get a palindrome (424344443424).

The spelling of 401132212320 in words is "four hundred one billion, one hundred thirty-two million, two hundred twelve thousand, three hundred twenty".