14395663542120 has 384 divisors, whose sum is σ = 50946656106240. Its totient is φ = 3244054302720.

The previous prime is 14395663542119. The next prime is 14395663542149. The reversal of 14395663542120 is 2124536659341.

It is a happy number.

It is a super-3 number, since 3×14395663542120³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 1404038914 + ... + 1404049166.

It is an arithmetic number, because the mean of its divisors is an integer number (132673583610).

Almost surely, 2^{14395663542120} is an apocalyptic number.

14395663542120 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 14395663542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25473328053120).

14395663542120 is an abundant number, since it is smaller than the sum of its proper divisors (36550992564120).

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

14395663542120 is a wasteful number, since it uses less digits than its factorization.

14395663542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13625 (or 13614 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 14395663542120 in words is "fourteen trillion, three hundred ninety-five billion, six hundred sixty-three million, five hundred forty-two thousand, one hundred twenty".