4260408960 has 128 divisors (see below), whose sum is σ = 13771762560. Its totient is φ = 1120071680.

The previous prime is 4260408959. The next prime is 4260408973. The reversal of 4260408960 is 698040624.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120694 + ... + 151946.

It is an arithmetic number, because the mean of its divisors is an integer number (107591895).

Almost surely, 2^4260408960 is an apocalyptic number.

4260408960 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 4260408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885881280).

4260408960 is an abundant number, since it is smaller than the sum of its proper divisors (9511353600).

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

4260408960 is a wasteful number, since it uses less digits than its factorization.

4260408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31346 (or 31334 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4260408960 is about 65271.8083095604. The cubic root of 4260408960 is about 1621.1272142704.

The spelling of 4260408960 in words is "four billion, two hundred sixty million, four hundred eight thousand, nine hundred sixty".