4977999452160 has 1920 divisors, whose sum is σ = 21164121538560. Its totient is φ = 1095593361408.

The previous prime is 4977999452149. The next prime is 4977999452171. The reversal of 4977999452160 is 612549997794.

4977999452160 is a `hidden beast` number, since 4 + 9 + 7 + 7 + 9 + 9 + 9 + 452 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (4977999452149) and next prime (4977999452171).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31707002802 + ... + 31707002958.

It is an arithmetic number, because the mean of its divisors is an integer number (11022979968).

Almost surely, 2^{4977999452160} is an apocalyptic number.

4977999452160 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 4977999452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582060769280).

4977999452160 is an abundant number, since it is smaller than the sum of its proper divisors (16186122086400).

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

4977999452160 is a wasteful number, since it uses less digits than its factorization.

4977999452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 4977999452160 in words is "four trillion, nine hundred seventy-seven billion, nine hundred ninety-nine million, four hundred fifty-two thousand, one hundred sixty".