14102350957440 has 1536 divisors, whose sum is σ = 56509647667200. Its totient is φ = 3339811160064.

The previous prime is 14102350957417. The next prime is 14102350957481. The reversal of 14102350957440 is 4475905320141.

14102350957440 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 2 + 35 + 0 + 9 + 574 + 40 = 666.

14102350957440 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19239223314 + ... + 19239224046.

It is an arithmetic number, because the mean of its divisors is an integer number (36790135200).

Almost surely, 2^{14102350957440} is an apocalyptic number.

14102350957440 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 14102350957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254823833600).

14102350957440 is an abundant number, since it is smaller than the sum of its proper divisors (42407296709760).

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

14102350957440 is a wasteful number, since it uses less digits than its factorization.

14102350957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 14102350957440 in words is "fourteen trillion, one hundred two billion, three hundred fifty million, nine hundred fifty-seven thousand, four hundred forty".