496937523277440 has 3072 divisors, whose sum is σ = 2213198967628800. Its totient is φ = 103144221573120.

The previous prime is 496937523277427. The next prime is 496937523277513. The reversal of 496937523277440 is 44772325739694.

496937523277440 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 3 + 7 + 523 + 27 + 74 + 4 + 0 = 666.

It is a super-2 number, since 2×496937523277440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 113017401322 + ... + 113017405718.

It is an arithmetic number, because the mean of its divisors is an integer number (720442372275).

Almost surely, 2^{496937523277440} is an apocalyptic number.

496937523277440 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 496937523277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106599483814400).

496937523277440 is an abundant number, since it is smaller than the sum of its proper divisors (1716261444351360).

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

496937523277440 is a wasteful number, since it uses less digits than its factorization.

496937523277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 72.

The spelling of 496937523277440 in words is "four hundred ninety-six trillion, nine hundred thirty-seven billion, five hundred twenty-three million, two hundred seventy-seven thousand, four hundred forty".