14317401341100 has 288 divisors, whose sum is σ = 48678940848384. Its totient is φ = 3203117798400.

The previous prime is 14317401341099. The next prime is 14317401341123. The reversal of 14317401341100 is 114310471341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187134454 + ... + 187210946.

It is an arithmetic number, because the mean of its divisors is an integer number (169024100168).

Almost surely, 2^{14317401341100} is an apocalyptic number.

14317401341100 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 14317401341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24339470424192).

14317401341100 is an abundant number, since it is smaller than the sum of its proper divisors (34361539507284).

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

14317401341100 is a wasteful number, since it uses less digits than its factorization.

14317401341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80897 (or 80890 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 14317401341100 in words is "fourteen trillion, three hundred seventeen billion, four hundred one million, three hundred forty-one thousand, one hundred".