4307255857632 has 288 divisors, whose sum is σ = 14189517159552. Its totient is φ = 1133952777216.

The previous prime is 4307255857613. The next prime is 4307255857637. The reversal of 4307255857632 is 2367585527034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4307255857637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34366023 + ... + 34491129.

It is an arithmetic number, because the mean of its divisors is an integer number (49269156804).

Almost surely, 2^{4307255857632} is an apocalyptic number.

4307255857632 is a gapful number since it is divisible by the number (42) 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 4307255857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094758579776).

4307255857632 is an abundant number, since it is smaller than the sum of its proper divisors (9882261301920).

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

4307255857632 is a wasteful number, since it uses less digits than its factorization.

4307255857632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125710 (or 125695 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 57.

The spelling of 4307255857632 in words is "four trillion, three hundred seven billion, two hundred fifty-five million, eight hundred fifty-seven thousand, six hundred thirty-two".