13941816824320 has 640 divisors, whose sum is σ = 42716557965312. Its totient is φ = 4237354598400.

The previous prime is 13941816824317. The next prime is 13941816824387. The reversal of 13941816824320 is 2342861814931.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7467496027 + ... + 7467497893.

Almost surely, 2^{13941816824320} is an apocalyptic number.

13941816824320 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 13941816824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21358278982656).

13941816824320 is an abundant number, since it is smaller than the sum of its proper divisors (28774741140992).

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

13941816824320 is a wasteful number, since it uses less digits than its factorization.

13941816824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 13941816824320 in words is "thirteen trillion, nine hundred forty-one billion, eight hundred sixteen million, eight hundred twenty-four thousand, three hundred twenty".