4001110880 has 48 divisors (see below), whose sum is σ = 10179754704. Its totient is φ = 1477332480.

The previous prime is 4001110811. The next prime is 4001110903. The reversal of 4001110880 is 880111004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 959726 + ... + 963885.

It is an arithmetic number, because the mean of its divisors is an integer number (212078223).

Almost surely, 2^4001110880 is an apocalyptic number.

4001110880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001110880 is an abundant number, since it is smaller than the sum of its proper divisors (6178643824).

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

4001110880 is a wasteful number, since it uses less digits than its factorization.

4001110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923639 (or 1923631 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 4001110880 is about 63254.3348712165. The cubic root of 4001110880 is about 1587.5479893733.

Adding to 4001110880 its reverse (880111004), we get a palindrome (4881221884).

The spelling of 4001110880 in words is "four billion, one million, one hundred ten thousand, eight hundred eighty".