14057183872440 has 512 divisors, whose sum is σ = 51670310400000. Its totient is φ = 3385416093696.

The previous prime is 14057183872397. The next prime is 14057183872447. The reversal of 14057183872440 is 4427838175041.

14057183872440 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 7 + 18 + 387 + 244 + 0 = 666.

14057183872440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14057183872440³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057183872447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46861812 + ... + 47160828.

It is an arithmetic number, because the mean of its divisors is an integer number (100918575000).

Almost surely, 2^{14057183872440} is an apocalyptic number.

14057183872440 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 14057183872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25835155200000).

14057183872440 is an abundant number, since it is smaller than the sum of its proper divisors (37613126527560).

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

14057183872440 is a wasteful number, since it uses less digits than its factorization.

14057183872440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299164 (or 299154 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 14057183872440 in words is "fourteen trillion, fifty-seven billion, one hundred eighty-three million, eight hundred seventy-two thousand, four hundred forty".