4977810432 has 396 divisors, whose sum is σ = 17061270096. Its totient is φ = 1393459200.

The previous prime is 4977810421. The next prime is 4977810449. The reversal of 4977810432 is 2340187794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32965557 + ... + 32965707.

Almost surely, 2^4977810432 is an apocalyptic number.

4977810432 is a gapful number since it is divisible by the number (42) 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 4977810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530635048).

4977810432 is an abundant number, since it is smaller than the sum of its proper divisors (12083459664).

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

4977810432 is a wasteful number, since it uses less digits than its factorization.

4977810432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4977810432 is about 70553.5997097242. The cubic root of 4977810432 is about 1707.4426202415.

It can be divided in two parts, 4977 and 810432, that added together give a square (815409 = 903²).

The spelling of 4977810432 in words is "four billion, nine hundred seventy-seven million, eight hundred ten thousand, four hundred thirty-two".