14182864385040 has 320 divisors, whose sum is σ = 53024206233600. Its totient is φ = 3463676246016.

The previous prime is 14182864385023. The next prime is 14182864385051. The reversal of 14182864385040 is 4058346828141.

14182864385040 is a `hidden beast` number, since 1 + 4 + 1 + 82 + 86 + 438 + 50 + 4 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1577626 + ... + 5554694.

It is an arithmetic number, because the mean of its divisors is an integer number (165700644480).

Almost surely, 2^{14182864385040} is an apocalyptic number.

14182864385040 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 14182864385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26512103116800).

14182864385040 is an abundant number, since it is smaller than the sum of its proper divisors (38841341848560).

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

14182864385040 is a wasteful number, since it uses less digits than its factorization.

14182864385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977231 (or 3977219 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 14182864385040 in words is "fourteen trillion, one hundred eighty-two billion, eight hundred sixty-four million, three hundred eighty-five thousand, forty".