4004008080 has 80 divisors (see below), whose sum is σ = 12587301504. Its totient is φ = 1052692480.

The previous prime is 4004008033. The next prime is 4004008091. The reversal of 4004008080 is 808004004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4004008080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100449 + ... + 134528.

Almost surely, 2^4004008080 is an apocalyptic number.

4004008080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004008080 is an abundant number, since it is smaller than the sum of its proper divisors (8583293424).

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

4004008080 is a wasteful number, since it uses less digits than its factorization.

4004008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235064 (or 235058 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4004008080 is about 63277.2319242870. The cubic root of 4004008080 is about 1587.9310775096.

The spelling of 4004008080 in words is "four billion, four million, eight thousand, eighty".