401321061131220 has 384 divisors, whose sum is σ = 1295205104793600. Its totient is φ = 104401889055360.

The previous prime is 401321061131213. The next prime is 401321061131231. The reversal of 401321061131220 is 22131160123104.

401321061131220 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 10 + 611 + 3 + 12 + 20 = 666.

It is a super-2 number, since 2×401321061131220² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337472907 + ... + 338660013.

It is an arithmetic number, because the mean of its divisors is an integer number (3372929960400).

Almost surely, 2^{401321061131220} 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 401321061131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647602552396800).

401321061131220 is an abundant number, since it is smaller than the sum of its proper divisors (893884043662380).

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

401321061131220 is a wasteful number, since it uses less digits than its factorization.

401321061131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187327 (or 1187307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 401321061131220 in words is "four hundred one trillion, three hundred twenty-one billion, sixty-one million, one hundred thirty-one thousand, two hundred twenty".