490756281943824 has 640 divisors, whose sum is σ = 1609175831155200. Its totient is φ = 142099302481920.

The previous prime is 490756281943819. The next prime is 490756281943841. The reversal of 490756281943824 is 428349182657094.

490756281943824 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 56 + 2 + 8 + 194 + 382 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6897743419 + ... + 6897814565.

It is an arithmetic number, because the mean of its divisors is an integer number (2514337236180).

It is a 1-persistent number, because it is pandigital, but 2⋅490756281943824 = 981512563887648 is not.

Almost surely, 2^{490756281943824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490756281943824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804587915577600).

490756281943824 is an abundant number, since it is smaller than the sum of its proper divisors (1118419549211376).

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

490756281943824 is a wasteful number, since it uses less digits than its factorization.

490756281943824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72280 (or 72268 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 490756281943824 in words is "four hundred ninety trillion, seven hundred fifty-six billion, two hundred eighty-one million, nine hundred forty-three thousand, eight hundred twenty-four".