499590804464640 has 3168 divisors, whose sum is σ = 2257787039114880. Its totient is φ = 105249199620096.

The previous prime is 499590804464639. The next prime is 499590804464657. The reversal of 499590804464640 is 46464408095994.

499590804464640 is a `hidden beast` number, since 4 + 9 + 95 + 90 + 8 + 0 + 446 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42857573692 + ... + 42857585348.

Almost surely, 2^{499590804464640} is an apocalyptic number.

499590804464640 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 499590804464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128893519557440).

499590804464640 is an abundant number, since it is smaller than the sum of its proper divisors (1758196234650240).

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

499590804464640 is a wasteful number, since it uses less digits than its factorization.

499590804464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11767 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 499590804464640 in words is "four hundred ninety-nine trillion, five hundred ninety billion, eight hundred four million, four hundred sixty-four thousand, six hundred forty".