90407421980400 has 120 divisors (see below), whose sum is σ = 330977266785664. Its totient is φ = 20664553593600.

The previous prime is 90407421980347. The next prime is 90407421980441. The reversal of 90407421980400 is 408912470409.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×90407421980400² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90407421980400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5381385766 + ... + 5381402565.

Almost surely, 2^{90407421980400} is an apocalyptic number.

It is an amenable number.

90407421980400 is an abundant number, since it is smaller than the sum of its proper divisors (240569844805264).

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

90407421980400 is a wasteful number, since it uses less digits than its factorization.

90407421980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10762788359 (or 10762788348 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 90407421980400 in words is "ninety trillion, four hundred seven billion, four hundred twenty-one million, nine hundred eighty thousand, four hundred".