12835309440 has 256 divisors, whose sum is σ = 42724454400. Its totient is φ = 3273768960.

The previous prime is 12835309429. The next prime is 12835309447. The reversal of 12835309440 is 4490353821.

It is a super-2 number, since 2×12835309440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12835309447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5296069 + ... + 5298491.

It is an arithmetic number, because the mean of its divisors is an integer number (166892400).

Almost surely, 2^12835309440 is an apocalyptic number.

12835309440 is a gapful number since it is divisible by the number (10) 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 12835309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21362227200).

12835309440 is an abundant number, since it is smaller than the sum of its proper divisors (29889144960).

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

12835309440 is a wasteful number, since it uses less digits than its factorization.

12835309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 12835309440 in words is "twelve billion, eight hundred thirty-five million, three hundred nine thousand, four hundred forty".