4070256960 has 896 divisors, whose sum is σ = 17696931840. Its totient is φ = 766771200.

The previous prime is 4070256947. The next prime is 4070256997. The reversal of 4070256960 is 696520704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51522201 + ... + 51522279.

It is an arithmetic number, because the mean of its divisors is an integer number (19751040).

Almost surely, 2^4070256960 is an apocalyptic number.

4070256960 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 4070256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848465920).

4070256960 is an abundant number, since it is smaller than the sum of its proper divisors (13626674880).

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

4070256960 is a wasteful number, since it uses less digits than its factorization.

4070256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 4070256960 is about 63798.5655011145. The cubic root of 4070256960 is about 1596.6409947789.

The spelling of 4070256960 in words is "four billion, seventy million, two hundred fifty-six thousand, nine hundred sixty".