4590770644096 has 512 divisors, whose sum is σ = 12267730944000. Its totient is φ = 1660027944960.

The previous prime is 4590770644073. The next prime is 4590770644123. The reversal of 4590770644096 is 6904460770954.

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 63 ways as a sum of consecutive naturals, for example, 2874620770 + ... + 2874622366.

It is an arithmetic number, because the mean of its divisors is an integer number (23960412000).

Almost surely, 2^{4590770644096} 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 4590770644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133865472000).

4590770644096 is an abundant number, since it is smaller than the sum of its proper divisors (7676960299904).

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

4590770644096 is a wasteful number, since it uses less digits than its factorization.

4590770644096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 4590770644096 in words is "four trillion, five hundred ninety billion, seven hundred seventy million, six hundred forty-four thousand, ninety-six".