13441968291840 has 1440 divisors, whose sum is σ = 51191637692160. Its totient is φ = 2999042703360.

The previous prime is 13441968291827. The next prime is 13441968291841. The reversal of 13441968291840 is 4819286914431.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (13441968291841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20905082559 + ... + 20905083201.

Almost surely, 2^{13441968291840} is an apocalyptic number.

13441968291840 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 13441968291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25595818846080).

13441968291840 is an abundant number, since it is smaller than the sum of its proper divisors (37749669400320).

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

13441968291840 is a wasteful number, since it uses less digits than its factorization.

13441968291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 13441968291840 in words is "thirteen trillion, four hundred forty-one billion, nine hundred sixty-eight million, two hundred ninety-one thousand, eight hundred forty".