494539640524800 has 2496 divisors, whose sum is σ = 2034632489630720. Its totient is φ = 118416959078400.

The previous prime is 494539640524789. The next prime is 494539640524807. The reversal of 494539640524800 is 8425046935494.

494539640524800 is a `hidden beast` number, since 4 + 9 + 4 + 539 + 6 + 4 + 0 + 52 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494539640524807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107719370505 + ... + 107719375095.

Almost surely, 2^{494539640524800} is an apocalyptic number.

494539640524800 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 494539640524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017316244815360).

494539640524800 is an abundant number, since it is smaller than the sum of its proper divisors (1540092849105920).

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

494539640524800 is an equidigital number, since it uses as much as digits as its factorization.

494539640524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 494539640524800 in words is "four hundred ninety-four trillion, five hundred thirty-nine billion, six hundred forty million, five hundred twenty-four thousand, eight hundred".