4977081540 has 288 divisors, whose sum is σ = 16353792000. Its totient is φ = 1221454080.

The previous prime is 4977081523. The next prime is 4977081601. The reversal of 4977081540 is 451807794.

It is a happy number.

4977081540 is a `hidden beast` number, since 497 + 7 + 0 + 8 + 154 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25010361 + ... + 25010559.

It is an arithmetic number, because the mean of its divisors is an integer number (56784000).

Almost surely, 2^4977081540 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 4977081540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896000).

4977081540 is an abundant number, since it is smaller than the sum of its proper divisors (11376710460).

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

4977081540 is a wasteful number, since it uses less digits than its factorization.

4977081540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4977081540 is about 70548.4340010464. The cubic root of 4977081540 is about 1707.3592769032.

The spelling of 4977081540 in words is "four billion, nine hundred seventy-seven million, eighty-one thousand, five hundred forty".