4107726560 has 96 divisors (see below), whose sum is σ = 11200980672. Its totient is φ = 1394380800.

The previous prime is 4107726533. The next prime is 4107726589. The reversal of 4107726560 is 656277014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94964 + ... + 131276.

It is an arithmetic number, because the mean of its divisors is an integer number (116676882).

Almost surely, 2^4107726560 is an apocalyptic number.

4107726560 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 4107726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600490336).

4107726560 is an abundant number, since it is smaller than the sum of its proper divisors (7093254112).

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

4107726560 is a wasteful number, since it uses less digits than its factorization.

4107726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36436 (or 36428 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 4107726560 is about 64091.5482727637. The cubic root of 4107726560 is about 1601.5254410147.

The spelling of 4107726560 in words is "four billion, one hundred seven million, seven hundred twenty-six thousand, five hundred sixty".