4828138584960 has 128 divisors (see below), whose sum is σ = 15478650560160. Its totient is φ = 1280061317120.

The previous prime is 4828138584959. The next prime is 4828138584961. The reversal of 4828138584960 is 694858318284.

It is an interprime number because it is at equal distance from previous prime (4828138584959) and next prime (4828138584961).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4828138584960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4828138584891 and 4828138584900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4828138584961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6935631 + ... + 7599950.

Almost surely, 2^{4828138584960} is an apocalyptic number.

4828138584960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4828138584960 is an abundant number, since it is smaller than the sum of its proper divisors (10650511975200).

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

4828138584960 is a wasteful number, since it uses less digits than its factorization.

4828138584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14535776 (or 14535764 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 66.

The spelling of 4828138584960 in words is "four trillion, eight hundred twenty-eight billion, one hundred thirty-eight million, five hundred eighty-four thousand, nine hundred sixty".