13964559319040 has 272 divisors, whose sum is σ = 36829650775680. Its totient is φ = 5040777461760.

The previous prime is 13964559319033. The next prime is 13964559319049. The reversal of 13964559319040 is 4091395546931.

It is not an unprimeable number, because it can be changed into a prime (13964559319049) 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 15 ways as a sum of consecutive naturals, for example, 493799621 + ... + 493827899.

Almost surely, 2^{13964559319040} is an apocalyptic number.

13964559319040 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 13964559319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414825387840).

13964559319040 is an abundant number, since it is smaller than the sum of its proper divisors (22865091456640).

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

13964559319040 is an equidigital number, since it uses as much as digits as its factorization.

13964559319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28464 (or 28434 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 59.

The spelling of 13964559319040 in words is "thirteen trillion, nine hundred sixty-four billion, five hundred fifty-nine million, three hundred nineteen thousand, forty".