4008104464 has 80 divisors (see below), whose sum is σ = 9580636800. Its totient is φ = 1581834240.

The previous prime is 4008104449. The next prime is 4008104479. The reversal of 4008104464 is 4644018004.

4008104464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4008104449) and next prime (4008104479).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650679 + ... + 656809.

It is an arithmetic number, because the mean of its divisors is an integer number (119757960).

Almost surely, 2^4008104464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008104464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790318400).

4008104464 is an abundant number, since it is smaller than the sum of its proper divisors (5572532336).

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

4008104464 is a wasteful number, since it uses less digits than its factorization.

4008104464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 4008104464 is about 63309.5921958118. The cubic root of 4008104464 is about 1588.4724149484.

The spelling of 4008104464 in words is "four billion, eight million, one hundred four thousand, four hundred sixty-four".