14914318933440 has 448 divisors, whose sum is σ = 55579847915520. Its totient is φ = 3804227970048.

The previous prime is 14914318933427. The next prime is 14914318933447. The reversal of 14914318933440 is 4433981341941.

It is a happy number.

14914318933440 is a `hidden beast` number, since 1 + 4 + 9 + 14 + 3 + 189 + 3 + 3 + 440 = 666.

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 (14914318933447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15633037 + ... + 16559603.

Almost surely, 2^{14914318933440} is an apocalyptic number.

14914318933440 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 14914318933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27789923957760).

14914318933440 is an abundant number, since it is smaller than the sum of its proper divisors (40665528982080).

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

14914318933440 is an frugal number, since it uses more digits than its factorization.

14914318933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926628 (or 926600 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 14914318933440 in words is "fourteen trillion, nine hundred fourteen billion, three hundred eighteen million, nine hundred thirty-three thousand, four hundred forty".