400732465824 has 144 divisors (see below), whose sum is σ = 1200245522112. Its totient is φ = 126575437824.

The previous prime is 400732465811. The next prime is 400732465829. The reversal of 400732465824 is 428564237004.

It is a happy number.

400732465824 is a `hidden beast` number, since 40 + 0 + 7 + 3 + 24 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 400732465824.

It is not an unprimeable number, because it can be changed into a prime (400732465829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426072 + ... + 991464.

It is an arithmetic number, because the mean of its divisors is an integer number (8335038348).

Almost surely, 2^400732465824 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 400732465824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600122761056).

400732465824 is an abundant number, since it is smaller than the sum of its proper divisors (799513056288).

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

400732465824 is a wasteful number, since it uses less digits than its factorization.

400732465824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565539 (or 565528 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 400732465824 in words is "four hundred billion, seven hundred thirty-two million, four hundred sixty-five thousand, eight hundred twenty-four".