498798518400 has 3456 divisors, whose sum is σ = 2479875652800. Its totient is φ = 97820835840.

The previous prime is 498798518359. The next prime is 498798518429. The reversal of 498798518400 is 4815897894.

498798518400 is a `hidden beast` number, since 4 + 9 + 8 + 79 + 8 + 518 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9411292774 + ... + 9411292826.

Almost surely, 2^498798518400 is an apocalyptic number.

498798518400 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 498798518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239937826400).

498798518400 is an abundant number, since it is smaller than the sum of its proper divisors (1981077134400).

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

498798518400 is a wasteful number, since it uses less digits than its factorization.

498798518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 498798518400 in words is "four hundred ninety-eight billion, seven hundred ninety-eight million, five hundred eighteen thousand, four hundred".