990927014400 has 720 divisors, whose sum is σ = 3657624182784. Its totient is φ = 256011632640.

The previous prime is 990927014387. The next prime is 990927014419. The reversal of 990927014400 is 4410729099.

It is a happy number.

990927014400 is a `hidden beast` number, since 9 + 90 + 92 + 70 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 71 ways as a sum of consecutive naturals, for example, 1632498897 + ... + 1632499503.

Almost surely, 2^990927014400 is an apocalyptic number.

990927014400 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 990927014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828812091392).

990927014400 is an abundant number, since it is smaller than the sum of its proper divisors (2666697168384).

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

990927014400 is a wasteful number, since it uses less digits than its factorization.

990927014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 990927014400 in words is "nine hundred ninety billion, nine hundred twenty-seven million, fourteen thousand, four hundred".