4977161280 has 504 divisors, whose sum is σ = 21454137432. Its totient is φ = 1049739264.

The previous prime is 4977161269. The next prime is 4977161309. The reversal of 4977161280 is 821617794.

It is a happy number.

4977161280 is a `hidden beast` number, since 497 + 71 + 6 + 12 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 986965056 + 3990196224 = 31416^2 + 63168^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1833204 + ... + 1835916.

It is an arithmetic number, because the mean of its divisors is an integer number (42567733).

Almost surely, 2^4977161280 is an apocalyptic number.

4977161280 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 4977161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10727068716).

4977161280 is an abundant number, since it is smaller than the sum of its proper divisors (16476976152).

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

4977161280 is a wasteful number, since it uses less digits than its factorization.

4977161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 4977161280 is about 70548.9991424400. Note that the first 3 decimals coincide. The cubic root of 4977161280 is about 1707.3683949711.

The spelling of 4977161280 in words is "four billion, nine hundred seventy-seven million, one hundred sixty-one thousand, two hundred eighty".