4976735040 has 448 divisors, whose sum is σ = 19206789120. Its totient is φ = 1207664640.

The previous prime is 4976734991. The next prime is 4976735041. The reversal of 4976735040 is 405376794.

4976735040 is a `hidden beast` number, since 4 + 9 + 76 + 73 + 504 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4976735041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4552734 + ... + 4553826.

Almost surely, 2^4976735040 is an apocalyptic number.

4976735040 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 4976735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603394560).

4976735040 is an abundant number, since it is smaller than the sum of its proper divisors (14230054080).

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

4976735040 is a wasteful number, since it uses less digits than its factorization.

4976735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4976735040 is about 70545.9781986188. The cubic root of 4976735040 is about 1707.3196543711.

The spelling of 4976735040 in words is "four billion, nine hundred seventy-six million, seven hundred thirty-five thousand, forty".