4008788496 has 320 divisors, whose sum is σ = 12914173440. Its totient is φ = 1198872576.

The previous prime is 4008788471. The next prime is 4008788527. The reversal of 4008788496 is 6948878004.

4008788496 is a `hidden beast` number, since 400 + 8 + 78 + 84 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13681726 + ... + 13682018.

It is an arithmetic number, because the mean of its divisors is an integer number (40356792).

Almost surely, 2^4008788496 is an apocalyptic number.

4008788496 is a gapful number since it is divisible by the number (46) 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 4008788496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457086720).

4008788496 is an abundant number, since it is smaller than the sum of its proper divisors (8905384944).

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

4008788496 is a wasteful number, since it uses less digits than its factorization.

4008788496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4008788496 is about 63314.9942430701. The cubic root of 4008788496 is about 1588.5627738838.

The spelling of 4008788496 in words is "four billion, eight million, seven hundred eighty-eight thousand, four hundred ninety-six".