4109104000 has 128 divisors (see below), whose sum is σ = 10817932320. Its totient is φ = 1546854400.

The previous prime is 4109103979. The next prime is 4109104039. The reversal of 4109104000 is 4019014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264447 + ... + 279553.

Almost surely, 2^4109104000 is an apocalyptic number.

4109104000 is a gapful number since it is divisible by the number (40) 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 4109104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408966160).

4109104000 is an abundant number, since it is smaller than the sum of its proper divisors (6708828320).

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

4109104000 is a wasteful number, since it uses less digits than its factorization.

4109104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15153 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 4109104000 is about 64102.2932507098. The cubic root of 4109104000 is about 1601.7044336714.

The spelling of 4109104000 in words is "four billion, one hundred nine million, one hundred four thousand".