8960404622400 has 2016 divisors, whose sum is σ = 41559771242496. Its totient is φ = 1776660480000.

The previous prime is 8960404622371. The next prime is 8960404622401. The reversal of 8960404622400 is 42264040698.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8960404622401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2509212615 + ... + 2509216185.

Almost surely, 2^{8960404622400} is an apocalyptic number.

8960404622400 is a gapful number since it is divisible by the number (80) 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 8960404622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779885621248).

8960404622400 is an abundant number, since it is smaller than the sum of its proper divisors (32599366620096).

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

8960404622400 is a wasteful number, since it uses less digits than its factorization.

8960404622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 8960404622400 in words is "eight trillion, nine hundred sixty billion, four hundred four million, six hundred twenty-two thousand, four hundred".