400472938944 has 224 divisors, whose sum is σ = 1283160695040. Its totient is φ = 121737268224.

The previous prime is 400472938913. The next prime is 400472938961. The reversal of 400472938944 is 449839274004.

400472938944 is a `hidden beast` number, since 4 + 0 + 0 + 472 + 93 + 89 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1757119 + ... + 1971905.

It is an arithmetic number, because the mean of its divisors is an integer number (5728395960).

Almost surely, 2^400472938944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400472938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641580347520).

400472938944 is an abundant number, since it is smaller than the sum of its proper divisors (882687756096).

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

400472938944 is a wasteful number, since it uses less digits than its factorization.

400472938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214904 (or 214888 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 400472938944 in words is "four hundred billion, four hundred seventy-two million, nine hundred thirty-eight thousand, nine hundred forty-four".