4256431330640 has 80 divisors (see below), whose sum is σ = 10257103748880. Its totient is φ = 1640707461120.

The previous prime is 4256431330523. The next prime is 4256431330643. The reversal of 4256431330640 is 460331346524.

It can be written as a sum of positive squares in 8 ways, for example, as 492427799824 + 3764003530816 = 701732^2 + 1940104^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256431330643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551999 + ... + 2969438.

It is an arithmetic number, because the mean of its divisors is an integer number (128213796861).

Almost surely, 2^{4256431330640} is an apocalyptic number.

4256431330640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4256431330640 is an abundant number, since it is smaller than the sum of its proper divisors (6000672418240).

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

4256431330640 is a wasteful number, since it uses less digits than its factorization.

4256431330640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522000 (or 3521994 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 4256431330640 in words is "four trillion, two hundred fifty-six billion, four hundred thirty-one million, three hundred thirty thousand, six hundred forty".