4104509760 has 420 divisors, whose sum is σ = 15826842108. Its totient is φ = 1009262592.

The previous prime is 4104509749. The next prime is 4104509779. The reversal of 4104509760 is 679054014.

It can be written as a sum of positive squares in 6 ways, for example, as 1860024384 + 2244485376 = 43128^2 + 47376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380012 + ... + 4380948.

Almost surely, 2^4104509760 is an apocalyptic number.

4104509760 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 4104509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913421054).

4104509760 is an abundant number, since it is smaller than the sum of its proper divisors (11722332348).

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

4104509760 is a wasteful number, since it uses less digits than its factorization.

4104509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4104509760 is about 64066.4480051766. The cubic root of 4104509760 is about 1601.1072752034.

The spelling of 4104509760 in words is "four billion, one hundred four million, five hundred nine thousand, seven hundred sixty".