4108459968 has 140 divisors (see below), whose sum is σ = 12213076920. Its totient is φ = 1365631488.

The previous prime is 4108459963. The next prime is 4108459987. The reversal of 4108459968 is 8699548014.

4108459968 is a `hidden beast` number, since 41 + 0 + 8 + 4 + 599 + 6 + 8 = 666.

4108459968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4108459968² = 33758886617317122048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108459961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2295618 + ... + 2297406.

Almost surely, 2^4108459968 is an apocalyptic number.

4108459968 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 4108459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106538460).

4108459968 is an abundant number, since it is smaller than the sum of its proper divisors (8104616952).

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

4108459968 is a wasteful number, since it uses less digits than its factorization.

4108459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4108459968 is about 64097.2695830329. The cubic root of 4108459968 is about 1601.6207493445.

The spelling of 4108459968 in words is "four billion, one hundred eight million, four hundred fifty-nine thousand, nine hundred sixty-eight".