498672599040 has 1520 divisors, whose sum is σ = 2265523818624. Its totient is φ = 101921587200.

The previous prime is 498672599021. The next prime is 498672599077. The reversal of 498672599040 is 40995276894.

498672599040 is a `hidden beast` number, since 498 + 6 + 7 + 2 + 59 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×498672599040² (a number of 24 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8174960610 + ... + 8174960670.

Almost surely, 2^498672599040 is an apocalyptic number.

498672599040 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 498672599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132761909312).

498672599040 is an abundant number, since it is smaller than the sum of its proper divisors (1766851219584).

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

498672599040 is an frugal number, since it uses more digits than its factorization.

498672599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 498672599040 in words is "four hundred ninety-eight billion, six hundred seventy-two million, five hundred ninety-nine thousand, forty".