400124044320 has 1536 divisors, whose sum is σ = 1768048902144. Its totient is φ = 73388851200.

The previous prime is 400124044297. The next prime is 400124044339. The reversal of 400124044320 is 23440421004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1262220802 + ... + 1262221118.

It is an arithmetic number, because the mean of its divisors is an integer number (1151073504).

Almost surely, 2^400124044320 is an apocalyptic number.

400124044320 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 400124044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884024451072).

400124044320 is an abundant number, since it is smaller than the sum of its proper divisors (1367924857824).

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

400124044320 is a wasteful number, since it uses less digits than its factorization.

400124044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 400124044320 its reverse (23440421004), we get a palindrome (423564465324).

The spelling of 400124044320 in words is "four hundred billion, one hundred twenty-four million, forty-four thousand, three hundred twenty".