496507098240 has 96 divisors (see below), whose sum is σ = 1714501093500. Its totient is φ = 132401891328.

The previous prime is 496507098187. The next prime is 496507098281. The reversal of 496507098240 is 42890705694.

496507098240 is a `hidden beast` number, since 4 + 9 + 6 + 507 + 0 + 98 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 478720074816 + 17787023424 = 691896^2 + 133368^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×496507098240² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43093815 + ... + 43105334.

Almost surely, 2^496507098240 is an apocalyptic number.

496507098240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496507098240 is an abundant number, since it is smaller than the sum of its proper divisors (1217993995260).

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

496507098240 is a wasteful number, since it uses less digits than its factorization.

496507098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86199174 (or 86199159 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 496507098240 in words is "four hundred ninety-six billion, five hundred seven million, ninety-eight thousand, two hundred forty".