496543703040 has 2240 divisors, whose sum is σ = 2378874510720. Its totient is φ = 97108623360.

The previous prime is 496543703027. The next prime is 496543703041. The reversal of 496543703040 is 40307345694.

496543703040 is a `hidden beast` number, since 4 + 9 + 6 + 543 + 70 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496543703041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29208453112 + ... + 29208453128.

Almost surely, 2^496543703040 is an apocalyptic number.

496543703040 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 496543703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189437255360).

496543703040 is an abundant number, since it is smaller than the sum of its proper divisors (1882330807680).

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

496543703040 is an equidigital number, since it uses as much as digits as its factorization.

496543703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 496543703040 in words is "four hundred ninety-six billion, five hundred forty-three million, seven hundred three thousand, forty".