4977261432 has 480 divisors, whose sum is σ = 17438374800. Its totient is φ = 1313832960.

The previous prime is 4977261427. The next prime is 4977261437. The reversal of 4977261432 is 2341627794.

4977261432 is a `hidden beast` number, since 4 + 97 + 72 + 61 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (4977261427) and next prime (4977261437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977261437) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19366648 + ... + 19366904.

Almost surely, 2^4977261432 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 4977261432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8719187400).

4977261432 is an abundant number, since it is smaller than the sum of its proper divisors (12461113368).

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

4977261432 is a wasteful number, since it uses less digits than its factorization.

4977261432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 305 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 4977261432 is about 70549.7089434110. The cubic root of 4977261432 is about 1707.3798469617.

The spelling of 4977261432 in words is "four billion, nine hundred seventy-seven million, two hundred sixty-one thousand, four hundred thirty-two".