13041741440 has 256 divisors, whose sum is σ = 39012503040. Its totient is φ = 4058726400.

The previous prime is 13041741413. The next prime is 13041741443. The reversal of 13041741440 is 4414714031.

It is not an unprimeable number, because it can be changed into a prime (13041741443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3550805 + ... + 3554475.

It is an arithmetic number, because the mean of its divisors is an integer number (152392590).

Almost surely, 2^13041741440 is an apocalyptic number.

13041741440 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 13041741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506251520).

13041741440 is an abundant number, since it is smaller than the sum of its proper divisors (25970761600).

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

13041741440 is a wasteful number, since it uses less digits than its factorization.

13041741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 13041741440 in words is "thirteen billion, forty-one million, seven hundred forty-one thousand, four hundred forty".