14138443883520 has 2464 divisors, whose sum is σ = 58618977008256. Its totient is φ = 3239195443200.

The previous prime is 14138443883497. The next prime is 14138443883609. The reversal of 14138443883520 is 2538834483141.

14138443883520 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 8 + 4 + 4 + 38 + 83 + 520 = 666.

14138443883520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 62283893647 + ... + 62283893873.

Almost surely, 2^{14138443883520} is an apocalyptic number.

14138443883520 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 14138443883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29309488504128).

14138443883520 is an abundant number, since it is smaller than the sum of its proper divisors (44480533124736).

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

14138443883520 is a wasteful number, since it uses less digits than its factorization.

14138443883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 14138443883520 in words is "fourteen trillion, one hundred thirty-eight billion, four hundred forty-three million, eight hundred eighty-three thousand, five hundred twenty".