996969542400 has 1296 divisors, whose sum is σ = 4093486750080. Its totient is φ = 230119833600.

The previous prime is 996969542353. The next prime is 996969542461. The reversal of 996969542400 is 4245969699.

996969542400 is a `hidden beast` number, since 9 + 96 + 96 + 9 + 54 + 2 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3678854265 + ... + 3678854535.

Almost surely, 2^996969542400 is an apocalyptic number.

996969542400 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 996969542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046743375040).

996969542400 is an abundant number, since it is smaller than the sum of its proper divisors (3096517207680).

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

996969542400 is a wasteful number, since it uses less digits than its factorization.

996969542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 996969542400 in words is "nine hundred ninety-six billion, nine hundred sixty-nine million, five hundred forty-two thousand, four hundred".