498040033680 has 480 divisors, whose sum is σ = 1957187232000. Its totient is φ = 113449641984.

The previous prime is 498040033633. The next prime is 498040033691. The reversal of 498040033680 is 86330040894.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75813436 + ... + 75820004.

It is an arithmetic number, because the mean of its divisors is an integer number (4077473400).

Almost surely, 2^498040033680 is an apocalyptic number.

498040033680 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 498040033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978593616000).

498040033680 is an abundant number, since it is smaller than the sum of its proper divisors (1459147198320).

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

498040033680 is a wasteful number, since it uses less digits than its factorization.

498040033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 498040033680 in words is "four hundred ninety-eight billion, forty million, thirty-three thousand, six hundred eighty".