4580962828288 has 1152 divisors, whose sum is σ = 13235307044400. Its totient is φ = 1569592442880.

The previous prime is 4580962828279. The next prime is 4580962828303. The reversal of 4580962828288 is 8828282690854.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62752915420 + ... + 62752915492.

Almost surely, 2^{4580962828288} 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 4580962828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617653522200).

4580962828288 is an abundant number, since it is smaller than the sum of its proper divisors (8654344216112).

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

4580962828288 is a wasteful number, since it uses less digits than its factorization.

4580962828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 70.

The spelling of 4580962828288 in words is "four trillion, five hundred eighty billion, nine hundred sixty-two million, eight hundred twenty-eight thousand, two hundred eighty-eight".