4308507940128 has 576 divisors, whose sum is σ = 13743176428800. Its totient is φ = 1177412640768.

The previous prime is 4308507940103. The next prime is 4308507940141. The reversal of 4308507940128 is 8210497058034.

It is a happy number.

4308507940128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2671113850 + ... + 2671115462.

It is an arithmetic number, because the mean of its divisors is an integer number (23859681300).

Almost surely, 2^{4308507940128} is an apocalyptic number.

4308507940128 is a gapful number since it is divisible by the number (48) 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 4308507940128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871588214400).

4308507940128 is an abundant number, since it is smaller than the sum of its proper divisors (9434668488672).

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

4308507940128 is a wasteful number, since it uses less digits than its factorization.

4308507940128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 4308507940128 in words is "four trillion, three hundred eight billion, five hundred seven million, nine hundred forty thousand, one hundred twenty-eight".