496960932741120 has 816 divisors, whose sum is σ = 1754378749992960. Its totient is φ = 130114457174016.

The previous prime is 496960932741103. The next prime is 496960932741157. The reversal of 496960932741120 is 21147239069694.

496960932741120 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 609 + 3 + 2 + 7 + 4 + 1 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36330202441 + ... + 36330216119.

Almost surely, 2^{496960932741120} is an apocalyptic number.

496960932741120 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 496960932741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877189374996480).

496960932741120 is an abundant number, since it is smaller than the sum of its proper divisors (1257417817251840).

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

496960932741120 is a wasteful number, since it uses less digits than its factorization.

496960932741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13946 (or 13913 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 496960932741120 in words is "four hundred ninety-six trillion, nine hundred sixty billion, nine hundred thirty-two million, seven hundred forty-one thousand, one hundred twenty".