13194955837440 has 936 divisors, whose sum is σ = 50682694768992. Its totient is φ = 3172132454400.

The previous prime is 13194955837433. The next prime is 13194955837457. The reversal of 13194955837440 is 4473855949131.

13194955837440 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 4 + 9 + 5 + 583 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1339448515 + ... + 1339458365.

It is an arithmetic number, because the mean of its divisors is an integer number (54148178172).

Almost surely, 2^{13194955837440} is an apocalyptic number.

13194955837440 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 13194955837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25341347384496).

13194955837440 is an abundant number, since it is smaller than the sum of its proper divisors (37487738931552).

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

13194955837440 is a wasteful number, since it uses less digits than its factorization.

13194955837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 13194955837440 in words is "thirteen trillion, one hundred ninety-four billion, nine hundred fifty-five million, eight hundred thirty-seven thousand, four hundred forty".