4113129888 has 96 divisors (see below), whose sum is σ = 13710453120. Its totient is φ = 1175178240.

The previous prime is 4113129883. The next prime is 4113129907. The reversal of 4113129888 is 8889213114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4113129883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333993 + ... + 346088.

It is an arithmetic number, because the mean of its divisors is an integer number (142817220).

Almost surely, 2^4113129888 is an apocalyptic number.

4113129888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4113129888 is an abundant number, since it is smaller than the sum of its proper divisors (9597323232).

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

4113129888 is a wasteful number, since it uses less digits than its factorization.

4113129888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680107 (or 680093 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 4113129888 is about 64133.6876220290. The cubic root of 4113129888 is about 1602.2273520422.

The spelling of 4113129888 in words is "four billion, one hundred thirteen million, one hundred twenty-nine thousand, eight hundred eighty-eight".