4884177120 has 96 divisors (see below), whose sum is σ = 15409916928. Its totient is φ = 1300351488.

The previous prime is 4884177113. The next prime is 4884177127. The reversal of 4884177120 is 217714884.

It is an interprime number because it is at equal distance from previous prime (4884177113) and next prime (4884177127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4884177120² = 47710372279062988800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4884177127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 302697 + ... + 318423.

It is an arithmetic number, because the mean of its divisors is an integer number (160519968).

Almost surely, 2^4884177120 is an apocalyptic number.

4884177120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4884177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704958464).

4884177120 is an abundant number, since it is smaller than the sum of its proper divisors (10525739808).

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

4884177120 is a wasteful number, since it uses less digits than its factorization.

4884177120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 4884177120 is about 69886.8880406046. Note that the first 3 decimals coincide. The cubic root of 4884177120 is about 1696.6690393233.

The spelling of 4884177120 in words is "four billion, eight hundred eighty-four million, one hundred seventy-seven thousand, one hundred twenty".