4785658440 has 512 divisors, whose sum is σ = 17020108800. Its totient is φ = 1068318720.

The previous prime is 4785658439. The next prime is 4785658447. The reversal of 4785658440 is 448565874.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4785658447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67403605 + ... + 67403675.

It is an arithmetic number, because the mean of its divisors is an integer number (33242400).

Almost surely, 2^4785658440 is an apocalyptic number.

4785658440 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 4785658440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510054400).

4785658440 is an abundant number, since it is smaller than the sum of its proper divisors (12234450360).

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

4785658440 is a wasteful number, since it uses less digits than its factorization.

4785658440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The square root of 4785658440 is about 69178.4535820222. The cubic root of 4785658440 is about 1685.1836351504.

The spelling of 4785658440 in words is "four billion, seven hundred eighty-five million, six hundred fifty-eight thousand, four hundred forty".