4260871296 has 512 divisors, whose sum is σ = 15334272000. Its totient is φ = 1147944960.

The previous prime is 4260871267. The next prime is 4260871297. The reversal of 4260871296 is 6921780624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4260871297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12278995 + ... + 12279341.

It is an arithmetic number, because the mean of its divisors is an integer number (29949750).

Almost surely, 2^4260871296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4260871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667136000).

4260871296 is an abundant number, since it is smaller than the sum of its proper divisors (11073400704).

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

4260871296 is a wasteful number, since it uses less digits than its factorization.

4260871296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4260871296 is about 65275.3498343747. The cubic root of 4260871296 is about 1621.1858532702.

The spelling of 4260871296 in words is "four billion, two hundred sixty million, eight hundred seventy-one thousand, two hundred ninety-six".