4790735040 has 896 divisors, whose sum is σ = 20318699520. Its totient is φ = 928972800.

The previous prime is 4790735039. The next prime is 4790735063. The reversal of 4790735040 is 405370974.

4790735040 = 421² + 422² + ... + 2435².

It is a super-2 number, since 2×4790735040² = 45902284446967603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4790735040.

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 127 ways as a sum of consecutive naturals, for example, 78536610 + ... + 78536670.

It is an arithmetic number, because the mean of its divisors is an integer number (22677120).

Almost surely, 2^4790735040 is an apocalyptic number.

4790735040 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 4790735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159349760).

4790735040 is an abundant number, since it is smaller than the sum of its proper divisors (15527964480).

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

4790735040 is a wasteful number, since it uses less digits than its factorization.

4790735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 4790735040 is about 69215.1359169365. The cubic root of 4790735040 is about 1685.7793023992.

The spelling of 4790735040 in words is "four billion, seven hundred ninety million, seven hundred thirty-five thousand, forty".