990842388480 has 680 divisors, whose sum is σ = 4060562802912. Its totient is φ = 226435792896.

The previous prime is 990842388479. The next prime is 990842388521. The reversal of 990842388480 is 84883248099.

990842388480 is a `hidden beast` number, since 9 + 90 + 8 + 423 + 88 + 48 + 0 = 666.

It is a super-3 number, since 3×990842388480³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185791894 + ... + 185797226.

Almost surely, 2^990842388480 is an apocalyptic number.

990842388480 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 990842388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030281401456).

990842388480 is an abundant number, since it is smaller than the sum of its proper divisors (3069720414432).

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

990842388480 is an frugal number, since it uses more digits than its factorization.

990842388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 990842388480 in words is "nine hundred ninety billion, eight hundred forty-two million, three hundred eighty-eight thousand, four hundred eighty".