4109349888 has 352 divisors, whose sum is σ = 14738400000. Its totient is φ = 1104150528.

The previous prime is 4109349883. The next prime is 4109349889. The reversal of 4109349888 is 8889439014.

4109349888 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-2 number, since 2×4109349888² = 33773513004011225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4109349883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289488 + ... + 3290736.

Almost surely, 2^4109349888 is an apocalyptic number.

4109349888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369200000).

4109349888 is an abundant number, since it is smaller than the sum of its proper divisors (10629050112).

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

4109349888 is a wasteful number, since it uses less digits than its factorization.

4109349888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 4109349888 is about 64104.2111565223. The cubic root of 4109349888 is about 1601.7363815968.

The spelling of 4109349888 in words is "four billion, one hundred nine million, three hundred forty-nine thousand, eight hundred eighty-eight".