400007598960 has 160 divisors (see below), whose sum is σ = 1253591764992. Its totient is φ = 105502924800.

The previous prime is 400007598931. The next prime is 400007598979. The reversal of 400007598960 is 69895700004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45414877 + ... + 45423683.

Almost surely, 2^400007598960 is an apocalyptic number.

400007598960 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 400007598960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626795882496).

400007598960 is an abundant number, since it is smaller than the sum of its proper divisors (853584166032).

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

400007598960 is a wasteful number, since it uses less digits than its factorization.

400007598960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 400007598960 in words is "four hundred billion, seven million, five hundred ninety-eight thousand, nine hundred sixty".