4104349600 has 144 divisors (see below), whose sum is σ = 11358960480. Its totient is φ = 1435622400.

The previous prime is 4104349597. The next prime is 4104349633. The reversal of 4104349600 is 69434014.

4104349600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187215 + ... + 207985.

It is an arithmetic number, because the mean of its divisors is an integer number (78881670).

Almost surely, 2^4104349600 is an apocalyptic number.

4104349600 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 4104349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679480240).

4104349600 is an abundant number, since it is smaller than the sum of its proper divisors (7254610880).

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

4104349600 is a wasteful number, since it uses less digits than its factorization.

4104349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20823 (or 20810 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 4104349600 is about 64065.1980407460. The cubic root of 4104349600 is about 1601.0864496001.

The spelling of 4104349600 in words is "four billion, one hundred four million, three hundred forty-nine thousand, six hundred".