14325133322240 has 192 divisors, whose sum is σ = 38292342051600. Its totient is φ = 5106889654272.

The previous prime is 14325133322221. The next prime is 14325133322257. The reversal of 14325133322240 is 4222333152341.

It can be written as a sum of positive squares in 8 ways, for example, as 1014194013184 + 13310939309056 = 1007072^2 + 3648416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14325133322240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005124 + ... + 5715836.

Almost surely, 2^{14325133322240} is an apocalyptic number.

14325133322240 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 14325133322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146171025800).

14325133322240 is an abundant number, since it is smaller than the sum of its proper divisors (23967208729360).

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

14325133322240 is a wasteful number, since it uses less digits than its factorization.

14325133322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710782 (or 3710762 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 14325133322240 its reverse (4222333152341), we get a palindrome (18547466474581).

The spelling of 14325133322240 in words is "fourteen trillion, three hundred twenty-five billion, one hundred thirty-three million, three hundred twenty-two thousand, two hundred forty".