400322124222400 has 336 divisors, whose sum is σ = 1061248215767040. Its totient is φ = 148195055923200.

The previous prime is 400322124222389. The next prime is 400322124222439. The reversal of 400322124222400 is 4222421223004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5908169322 + ... + 5908237078.

It is an arithmetic number, because the mean of its divisors is an integer number (3158476832640).

Almost surely, 2^{400322124222400} is an apocalyptic number.

400322124222400 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 400322124222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530624107883520).

400322124222400 is an abundant number, since it is smaller than the sum of its proper divisors (660926091544640).

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

400322124222400 is a wasteful number, since it uses less digits than its factorization.

400322124222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73012 (or 72997 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 400322124222400 its reverse (4222421223004), we get a palindrome (404544545445404).

The spelling of 400322124222400 in words is "four hundred trillion, three hundred twenty-two billion, one hundred twenty-four million, two hundred twenty-two thousand, four hundred".