4008480844 has 48 divisors (see below), whose sum is σ = 7459200000. Its totient is φ = 1879526592.

The previous prime is 4008480821. The next prime is 4008480851. The reversal of 4008480844 is 4480848004.

4008480844 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-4 number, since 4×4008480844⁴ (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4008480797 and 4008480806.

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, 5423827 + ... + 5424565.

It is an arithmetic number, because the mean of its divisors is an integer number (155400000).

Almost surely, 2^4008480844 is an apocalyptic number.

It is an amenable number.

4008480844 is a deficient number, since it is larger than the sum of its proper divisors (3450719156).

4008480844 is a wasteful number, since it uses less digits than its factorization.

4008480844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 4008480844 is about 63312.5646613688. The cubic root of 4008480844 is about 1588.5221350875.

The spelling of 4008480844 in words is "four billion, eight million, four hundred eighty thousand, eight hundred forty-four".