490344140512512 has 2880 divisors, whose sum is σ = 1837839761227008. Its totient is φ = 127991218176000.

The previous prime is 490344140512489. The next prime is 490344140512543. The reversal of 490344140512512 is 215215041443094.

490344140512512 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 4 + 41 + 40 + 51 + 2 + 512 = 666.

It is a super-2 number, since 2×490344140512512² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 274395153283 + ... + 274395155069.

Almost surely, 2^{490344140512512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490344140512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918919880613504).

490344140512512 is an abundant number, since it is smaller than the sum of its proper divisors (1347495620714496).

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

490344140512512 is a wasteful number, since it uses less digits than its factorization.

490344140512512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 490344140512512 in words is "four hundred ninety trillion, three hundred forty-four billion, one hundred forty million, five hundred twelve thousand, five hundred twelve".