990913240800 has 1080 divisors, whose sum is σ = 4218754201200. Its totient is φ = 225682329600.

The previous prime is 990913240783. The next prime is 990913240831. The reversal of 990913240800 is 8042319099.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1654278901 + ... + 1654279499.

It is an arithmetic number, because the mean of its divisors is an integer number (3906253890).

Almost surely, 2^990913240800 is an apocalyptic number.

990913240800 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 990913240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109377100600).

990913240800 is an abundant number, since it is smaller than the sum of its proper divisors (3227840960400).

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

990913240800 is a wasteful number, since it uses less digits than its factorization.

990913240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

Adding to 990913240800 its reverse (8042319099), we get a palindrome (998955559899).

The spelling of 990913240800 in words is "nine hundred ninety billion, nine hundred thirteen million, two hundred forty thousand, eight hundred".