4977753144 has 128 divisors (see below), whose sum is σ = 15372564480. Its totient is φ = 1307980800.

The previous prime is 4977753113. The next prime is 4977753167. The reversal of 4977753144 is 4413577794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609649 + ... + 617759.

It is an arithmetic number, because the mean of its divisors is an integer number (120098160).

Almost surely, 2^4977753144 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 4977753144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7686282240).

4977753144 is an abundant number, since it is smaller than the sum of its proper divisors (10394811336).

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

4977753144 is a wasteful number, since it uses less digits than its factorization.

4977753144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8421 (or 8417 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The square root of 4977753144 is about 70553.1937193491. The cubic root of 4977753144 is about 1707.4360700826.

The spelling of 4977753144 in words is "four billion, nine hundred seventy-seven million, seven hundred fifty-three thousand, one hundred forty-four".