401413013320 has 192 divisors, whose sum is σ = 1038843837360. Its totient is φ = 139340298240.

The previous prime is 401413013303. The next prime is 401413013327. The reversal of 401413013320 is 23310314104.

It can be written as a sum of positive squares in 8 ways, for example, as 255835663204 + 145577350116 = 505802^2 + 381546^2 .

It is a super-2 number, since 2×401413013320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 401413013291 and 401413013300.

It is not an unprimeable number, because it can be changed into a prime (401413013327) 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, 9470094 + ... + 9512386.

Almost surely, 2^401413013320 is an apocalyptic number.

401413013320 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 401413013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519421918680).

401413013320 is an abundant number, since it is smaller than the sum of its proper divisors (637430824040).

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

401413013320 is a wasteful number, since it uses less digits than its factorization.

401413013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42416 (or 42401 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 401413013320 its reverse (23310314104), we get a palindrome (424723327424).

The spelling of 401413013320 in words is "four hundred one billion, four hundred thirteen million, thirteen thousand, three hundred twenty".