499164638400 has 840 divisors, whose sum is σ = 1887939216240. Its totient is φ = 129313013760.

The previous prime is 499164638393. The next prime is 499164638411. The reversal of 499164638400 is 4836461994.

It is a happy number.

499164638400 is a `hidden beast` number, since 4 + 99 + 16 + 463 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 741700464 + ... + 741701136.

It is an arithmetic number, because the mean of its divisors is an integer number (2247546686).

Almost surely, 2^499164638400 is an apocalyptic number.

499164638400 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 499164638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943969608120).

499164638400 is an abundant number, since it is smaller than the sum of its proper divisors (1388774577840).

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

499164638400 is a wasteful number, since it uses less digits than its factorization.

499164638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 499164638400 in words is "four hundred ninety-nine billion, one hundred sixty-four million, six hundred thirty-eight thousand, four hundred".