4628095515424 has 144 divisors (see below), whose sum is σ = 10186417911096. Its totient is φ = 2062409932800.

The previous prime is 4628095515419. The next prime is 4628095515493. The reversal of 4628095515424 is 4245155908264.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4514486071824 + 113609443600 = 2124732^2 + 337060^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703247814 + ... + 703254394.

Almost surely, 2^{4628095515424} 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 4628095515424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093208955548).

4628095515424 is an abundant number, since it is smaller than the sum of its proper divisors (5558322395672).

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

4628095515424 is a wasteful number, since it uses less digits than its factorization.

4628095515424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 55.

The spelling of 4628095515424 in words is "four trillion, six hundred twenty-eight billion, ninety-five million, five hundred fifteen thousand, four hundred twenty-four".