490315607640 has 256 divisors, whose sum is σ = 1668593520000. Its totient is φ = 128024193024.

The previous prime is 490315607603. The next prime is 490315607651. The reversal of 490315607640 is 46706513094.

490315607640 is a `hidden beast` number, since 4 + 9 + 0 + 31 + 5 + 607 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29126746 + ... + 29143574.

Almost surely, 2^490315607640 is an apocalyptic number.

490315607640 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 490315607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834296760000).

490315607640 is an abundant number, since it is smaller than the sum of its proper divisors (1178277912360).

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

490315607640 is a wasteful number, since it uses less digits than its factorization.

490315607640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17411 (or 17401 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 490315607640 in words is "four hundred ninety billion, three hundred fifteen million, six hundred seven thousand, six hundred forty".