496282127040 has 672 divisors, whose sum is σ = 2042262802944. Its totient is φ = 112362577920.

The previous prime is 496282127027. The next prime is 496282127087. The reversal of 496282127040 is 40721282694.

496282127040 is a `hidden beast` number, since 4 + 9 + 628 + 2 + 12 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58237980 + ... + 58246500.

It is an arithmetic number, because the mean of its divisors is an integer number (3039081552).

Almost surely, 2^496282127040 is an apocalyptic number.

496282127040 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 496282127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021131401472).

496282127040 is an abundant number, since it is smaller than the sum of its proper divisors (1545980675904).

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

496282127040 is a wasteful number, since it uses less digits than its factorization.

496282127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8667 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 496282127040 in words is "four hundred ninety-six billion, two hundred eighty-two million, one hundred twenty-seven thousand, forty".