4000804880 has 20 divisors (see below), whose sum is σ = 9301871532. Its totient is φ = 1600321920.

The previous prime is 4000804849. The next prime is 4000804883. The reversal of 4000804880 is 884080004.

4000804880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 402724624 + 3598080256 = 20068^2 + 59984^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (4000804883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25004951 + ... + 25005110.

Almost surely, 2^4000804880 is an apocalyptic number.

4000804880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000804880 is an abundant number, since it is smaller than the sum of its proper divisors (5301066652).

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

4000804880 is a wasteful number, since it uses less digits than its factorization.

4000804880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50010074 (or 50010068 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4000804880 is about 63251.9160184101. The cubic root of 4000804880 is about 1587.5075171074.

Adding to 4000804880 its reverse (884080004), we get a palindrome (4884884884).

The spelling of 4000804880 in words is "four billion, eight hundred four thousand, eight hundred eighty".