400413113320000 has 560 divisors, whose sum is σ = 1099561499688960. Its totient is φ = 143416224000000.

The previous prime is 400413113319979. The next prime is 400413113320027. The reversal of 400413113320000 is 23311314004.

It is a super-2 number, since 2×400413113320000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7767294225 + ... + 7767345775.

It is an arithmetic number, because the mean of its divisors is an integer number (1963502678016).

Almost surely, 2^{400413113320000} is an apocalyptic number.

400413113320000 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 400413113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549780749844480).

400413113320000 is an abundant number, since it is smaller than the sum of its proper divisors (699148386368960).

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

400413113320000 is a wasteful number, since it uses less digits than its factorization.

400413113320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51860 (or 51835 counting only the distinct ones).

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

Adding to 400413113320000 its reverse (23311314004), we get a palindrome (400436424634004).

The spelling of 400413113320000 in words is "four hundred trillion, four hundred thirteen billion, one hundred thirteen million, three hundred twenty thousand".