400404311120 has 160 divisors (see below), whose sum is σ = 1026864812160. Its totient is φ = 143985920000.

The previous prime is 400404311101. The next prime is 400404311149. The reversal of 400404311120 is 21113404004.

It is a super-2 number, since 2×400404311120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 400404311092 and 400404311101.

It is a congruent number.

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, 90566510 + ... + 90570930.

It is an arithmetic number, because the mean of its divisors is an integer number (6417905076).

Almost surely, 2^400404311120 is an apocalyptic number.

400404311120 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 400404311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513432406080).

400404311120 is an abundant number, since it is smaller than the sum of its proper divisors (626460501040).

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

400404311120 is a wasteful number, since it uses less digits than its factorization.

400404311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 400404311120 its reverse (21113404004), we get a palindrome (421517715124).

The spelling of 400404311120 in words is "four hundred billion, four hundred four million, three hundred eleven thousand, one hundred twenty".