490595594227200 has 6000 divisors, whose sum is σ = 2412643956201600. Its totient is φ = 96576576307200.

The previous prime is 490595594227153. The next prime is 490595594227213. The reversal of 490595594227200 is 2722495595094.

490595594227200 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 9 + 559 + 4 + 2 + 2 + 72 + 0 + 0 = 666.

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 polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 25820820748791 + ... + 25820820748809.

Almost surely, 2^{490595594227200} is an apocalyptic number.

490595594227200 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 490595594227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206321978100800).

490595594227200 is an abundant number, since it is smaller than the sum of its proper divisors (1922048361974400).

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

490595594227200 is an frugal number, since it uses more digits than its factorization.

490595594227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 490595594227200 in words is "four hundred ninety trillion, five hundred ninety-five billion, five hundred ninety-four million, two hundred twenty-seven thousand, two hundred".