14322281040 has 480 divisors, whose sum is σ = 53226370080. Its totient is φ = 3435134976.

The previous prime is 14322281021. The next prime is 14322281053. The reversal of 14322281040 is 4018222341.

14322281040 is a `hidden beast` number, since 1 + 432 + 228 + 1 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 91699776 + 14230581264 = 9576^2 + 119292^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14322280995 and 14322281013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55728592 + ... + 55728848.

It is an arithmetic number, because the mean of its divisors is an integer number (110888271).

Almost surely, 2^14322281040 is an apocalyptic number.

14322281040 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 14322281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26613185040).

14322281040 is an abundant number, since it is smaller than the sum of its proper divisors (38904089040).

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

14322281040 is a wasteful number, since it uses less digits than its factorization.

14322281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14322281040 in words is "fourteen billion, three hundred twenty-two million, two hundred eighty-one thousand, forty".