400113502400 has 84 divisors (see below), whose sum is σ = 984661904688. Its totient is φ = 160023843840.

The previous prime is 400113502361. The next prime is 400113502403. The reversal of 400113502400 is 4205311004.

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

It is not an unprimeable number, because it can be changed into a prime (400113502403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17663882 + ... + 17686518.

It is an arithmetic number, because the mean of its divisors is an integer number (11722165532).

Almost surely, 2^400113502400 is an apocalyptic number.

400113502400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400113502400 is an abundant number, since it is smaller than the sum of its proper divisors (584548402288).

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

400113502400 is a wasteful number, since it uses less digits than its factorization.

400113502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33706 (or 33691 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 400113502400 its reverse (4205311004), we get a palindrome (404318813404).

The spelling of 400113502400 in words is "four hundred billion, one hundred thirteen million, five hundred two thousand, four hundred".