400144400032320 has 224 divisors, whose sum is σ = 1421776069929600. Its totient is φ = 105937509906432.

The previous prime is 400144400032253. The next prime is 400144400032361. The reversal of 400144400032320 is 23230004441004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165392599 + ... + 167794518.

It is an arithmetic number, because the mean of its divisors is an integer number (6347214597900).

Almost surely, 2^{400144400032320} is an apocalyptic number.

400144400032320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400144400032320 is an abundant number, since it is smaller than the sum of its proper divisors (1021631669897280).

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

400144400032320 is a wasteful number, since it uses less digits than its factorization.

400144400032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333187282 (or 333187266 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 400144400032320 its reverse (23230004441004), we get a palindrome (423374404473324).

The spelling of 400144400032320 in words is "four hundred trillion, one hundred forty-four billion, four hundred million, thirty-two thousand, three hundred twenty".