13283941440 has 1008 divisors, whose sum is σ = 57966668928. Its totient is φ = 2514124800.

The previous prime is 13283941439. The next prime is 13283941477. The reversal of 13283941440 is 4414938231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 428514225 + ... + 428514255.

It is an arithmetic number, because the mean of its divisors is an integer number (57506616).

Almost surely, 2^13283941440 is an apocalyptic number.

13283941440 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 13283941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28983334464).

13283941440 is an abundant number, since it is smaller than the sum of its proper divisors (44682727488).

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

13283941440 is a wasteful number, since it uses less digits than its factorization.

13283941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 13283941440 in words is "thirteen billion, two hundred eighty-three million, nine hundred forty-one thousand, four hundred forty".