401131020504420 has 144 divisors (see below), whose sum is σ = 1230465157189632. Its totient is φ = 105766634131200.

The previous prime is 401131020504419. The next prime is 401131020504427. The reversal of 401131020504420 is 24405020131104.

401131020504420 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 3 + 10 + 205 + 0 + 442 + 0 = 666.

It is a super-2 number, since 2×401131020504420² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401131020504427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1340452 + ... + 28355931.

It is an arithmetic number, because the mean of its divisors is an integer number (8544896924928).

Almost surely, 2^{401131020504420} 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 401131020504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615232578594816).

401131020504420 is an abundant number, since it is smaller than the sum of its proper divisors (829334136685212).

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

401131020504420 is a wasteful number, since it uses less digits than its factorization.

401131020504420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29697242 (or 29697237 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 401131020504420 its reverse (24405020131104), we get a palindrome (425536040635524).

The spelling of 401131020504420 in words is "four hundred one trillion, one hundred thirty-one billion, twenty million, five hundred four thousand, four hundred twenty".