99949406400 has 1008 divisors, whose sum is σ = 387409870848. Its totient is φ = 24385536000.

The previous prime is 99949406363. The next prime is 99949406429. The reversal of 99949406400 is 460494999.

99949406400 is a `hidden beast` number, since 9 + 99 + 494 + 0 + 64 + 0 + 0 = 666.

99949406400 is a nontrivial binomial coefficient, being equal to C(129, 7).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 787003137 + ... + 787003263.

Almost surely, 2^99949406400 is an apocalyptic number.

99949406400 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 99949406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193704935424).

99949406400 is an abundant number, since it is smaller than the sum of its proper divisors (287460464448).

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

99949406400 is a wasteful number, since it uses less digits than its factorization.

99949406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 99949406400 in words is "ninety-nine billion, nine hundred forty-nine million, four hundred six thousand, four hundred".