496885933440 has 1792 divisors, whose sum is σ = 2090228716800. Its totient is φ = 111795240960.

The previous prime is 496885933429. The next prime is 496885933447. The reversal of 496885933440 is 44339588694.

496885933440 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 8 + 593 + 34 + 4 + 0 = 666.

It is a super-2 number, since 2×496885933440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496885933447) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6289695321 + ... + 6289695399.

It is an arithmetic number, because the mean of its divisors is an integer number (1166422275).

Almost surely, 2^496885933440 is an apocalyptic number.

496885933440 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 496885933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045114358400).

496885933440 is an abundant number, since it is smaller than the sum of its proper divisors (1593342783360).

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

496885933440 is a wasteful number, since it uses less digits than its factorization.

496885933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 496885933440 in words is "four hundred ninety-six billion, eight hundred eighty-five million, nine hundred thirty-three thousand, four hundred forty".