400476382432 has 96 divisors (see below), whose sum is σ = 906880472064. Its totient is φ = 170527680000.

The previous prime is 400476382409. The next prime is 400476382447. The reversal of 400476382432 is 234283674004.

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 15 ways as a sum of consecutive naturals, for example, 87228457 + ... + 87233047.

It is an arithmetic number, because the mean of its divisors is an integer number (9446671584).

Almost surely, 2^400476382432 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 400476382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453440236032).

400476382432 is an abundant number, since it is smaller than the sum of its proper divisors (506404089632).

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

400476382432 is a wasteful number, since it uses less digits than its factorization.

400476382432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 400476382432 in words is "four hundred billion, four hundred seventy-six million, three hundred eighty-two thousand, four hundred thirty-two".