990885299040 has 864 divisors, whose sum is σ = 4393034624160. Its totient is φ = 209060683776.

The previous prime is 990885299003. The next prime is 990885299057. The reversal of 990885299040 is 40992588099.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 24746556 + ... + 24786564.

It is an arithmetic number, because the mean of its divisors is an integer number (5084530815).

Almost surely, 2^990885299040 is an apocalyptic number.

990885299040 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 990885299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196517312080).

990885299040 is an abundant number, since it is smaller than the sum of its proper divisors (3402149325120).

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

990885299040 is a wasteful number, since it uses less digits than its factorization.

990885299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40066 (or 40039 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 990885299040 in words is "nine hundred ninety billion, eight hundred eighty-five million, two hundred ninety-nine thousand, forty".