13241294434368 has 1344 divisors, whose sum is σ = 52826399808000. Its totient is φ = 3164804628480.

The previous prime is 13241294434331. The next prime is 13241294434373. The reversal of 13241294434368 is 86343449214231.

13241294434368 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 294 + 4 + 343 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7401505218 + ... + 7401507006.

It is an arithmetic number, because the mean of its divisors is an integer number (39305357000).

Almost surely, 2^{13241294434368} is an apocalyptic number.

13241294434368 is a gapful number since it is divisible by the number (18) 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 13241294434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26413199904000).

13241294434368 is an abundant number, since it is smaller than the sum of its proper divisors (39585105373632).

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

13241294434368 is a wasteful number, since it uses less digits than its factorization.

13241294434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2214 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 13241294434368 in words is "thirteen trillion, two hundred forty-one billion, two hundred ninety-four million, four hundred thirty-four thousand, three hundred sixty-eight".