496243144320 has 1024 divisors, whose sum is σ = 2032499589120. Its totient is φ = 99993600000.

The previous prime is 496243144303. The next prime is 496243144321. The reversal of 496243144320 is 23441342694.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (496243144321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1595636965 + ... + 1595637275.

It is an arithmetic number, because the mean of its divisors is an integer number (1984862880).

Almost surely, 2^496243144320 is an apocalyptic number.

496243144320 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 496243144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016249794560).

496243144320 is an abundant number, since it is smaller than the sum of its proper divisors (1536256444800).

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

496243144320 is a wasteful number, since it uses less digits than its factorization.

496243144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 496243144320 in words is "four hundred ninety-six billion, two hundred forty-three million, one hundred forty-four thousand, three hundred twenty".