989742902400 has 2304 divisors, whose sum is σ = 4444972646400. Its totient is φ = 204838502400.

The previous prime is 989742902297. The next prime is 989742902417. The reversal of 989742902400 is 4209247989.

989742902400 is a `hidden beast` number, since 9 + 89 + 74 + 2 + 90 + 2 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7793251137 + ... + 7793251263.

It is an arithmetic number, because the mean of its divisors is an integer number (1929241600).

Almost surely, 2^989742902400 is an apocalyptic number.

989742902400 is a gapful number since it is divisible by the number (90) 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 989742902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222486323200).

989742902400 is an abundant number, since it is smaller than the sum of its proper divisors (3455229744000).

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

989742902400 is a wasteful number, since it uses less digits than its factorization.

989742902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 989742902400 in words is "nine hundred eighty-nine billion, seven hundred forty-two million, nine hundred two thousand, four hundred".