9990402072000 has 448 divisors, whose sum is σ = 38074264151040. Its totient is φ = 2260907520000.

The previous prime is 9990402071999. The next prime is 9990402072043. The reversal of 9990402072000 is 2702040999.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16673611 + ... + 17262389.

Almost surely, 2^{9990402072000} 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 9990402072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19037132075520).

9990402072000 is an abundant number, since it is smaller than the sum of its proper divisors (28083862079040).

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

9990402072000 is a wasteful number, since it uses less digits than its factorization.

9990402072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588917 (or 588897 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 9990402072000 in words is "nine trillion, nine hundred ninety billion, four hundred two million, seventy-two thousand".