4113492768 has 576 divisors, whose sum is σ = 15561383040. Its totient is φ = 1053803520.

The previous prime is 4113492749. The next prime is 4113492809. The reversal of 4113492768 is 8672943114.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 56349180 + ... + 56349252.

It is an arithmetic number, because the mean of its divisors is an integer number (27016290).

Almost surely, 2^4113492768 is an apocalyptic number.

4113492768 is a gapful number since it is divisible by the number (48) 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 4113492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780691520).

4113492768 is an abundant number, since it is smaller than the sum of its proper divisors (11447890272).

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

4113492768 is a wasteful number, since it uses less digits than its factorization.

4113492768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4113492768 is about 64136.5166500333. The cubic root of 4113492768 is about 1602.2744693778.

The spelling of 4113492768 in words is "four billion, one hundred thirteen million, four hundred ninety-two thousand, seven hundred sixty-eight".