496306621440 has 1056 divisors, whose sum is σ = 2081533708800. Its totient is φ = 113343971328.

The previous prime is 496306621429. The next prime is 496306621471. The reversal of 496306621440 is 44126603694.

496306621440 is a `hidden beast` number, since 4 + 9 + 630 + 6 + 6 + 2 + 1 + 4 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426746299 + ... + 426747461.

Almost surely, 2^496306621440 is an apocalyptic number.

496306621440 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 496306621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040766854400).

496306621440 is an abundant number, since it is smaller than the sum of its proper divisors (1585227087360).

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

496306621440 is an equidigital number, since it uses as much as digits as its factorization.

496306621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 496306621440 in words is "four hundred ninety-six billion, three hundred six million, six hundred twenty-one thousand, four hundred forty".