499813159910400 has 3960 divisors, whose sum is σ = 2244643614614016. Its totient is φ = 109450646323200.

The previous prime is 499813159910387. The next prime is 499813159910429. The reversal of 499813159910400 is 4019951318994.

499813159910400 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 1 + 31 + 599 + 1 + 0 + 4 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 337028428059 + ... + 337028429541.

Almost surely, 2^{499813159910400} is an apocalyptic number.

499813159910400 is a gapful number since it is divisible by the number (40) 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 499813159910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122321807307008).

499813159910400 is an abundant number, since it is smaller than the sum of its proper divisors (1744830454703616).

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

499813159910400 is a wasteful number, since it uses less digits than its factorization.

499813159910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 499813159910400 in words is "four hundred ninety-nine trillion, eight hundred thirteen billion, one hundred fifty-nine million, nine hundred ten thousand, four hundred".