13964106240000 has 4160 divisors, whose sum is σ = 65507031040000. Its totient is φ = 2926264320000.

The previous prime is 13964106239977. The next prime is 13964106240011. The reversal of 13964106240000 is 4260146931.

13964106240000 is a `hidden beast` number, since 1 + 3 + 9 + 641 + 0 + 6 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 450455039985 + ... + 450455040015.

Almost surely, 2^{13964106240000} is an apocalyptic number.

13964106240000 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 13964106240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32753515520000).

13964106240000 is an abundant number, since it is smaller than the sum of its proper divisors (51542924800000).

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

13964106240000 is an frugal number, since it uses more digits than its factorization.

13964106240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 13964106240000 its reverse (4260146931), we get a palindrome (13968366386931).

The spelling of 13964106240000 in words is "thirteen trillion, nine hundred sixty-four billion, one hundred six million, two hundred forty thousand".