499198820400 has 600 divisors, whose sum is σ = 2056246226144. Its totient is φ = 113616691200.

The previous prime is 499198820369. The next prime is 499198820411. The reversal of 499198820400 is 4028891994.

499198820400 is a `hidden beast` number, since 49 + 9 + 198 + 8 + 2 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×499198820400³ (a number of 36 digits) contains 333 as substring.

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, 54654234 + ... + 54663366.

Almost surely, 2^499198820400 is an apocalyptic number.

499198820400 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 499198820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028123113072).

499198820400 is an abundant number, since it is smaller than the sum of its proper divisors (1557047405744).

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

499198820400 is a wasteful number, since it uses less digits than its factorization.

499198820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 499198820400 in words is "four hundred ninety-nine billion, one hundred ninety-eight million, eight hundred twenty thousand, four hundred".