14442133244040 has 48 divisors (see below), whose sum is σ = 46936933044300. Its totient is φ = 3851235531648.

The previous prime is 14442133244039. The next prime is 14442133244083. The reversal of 14442133244040 is 4044233124441.

14442133244040 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 213 + 32 + 4 + 404 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14401250830404 + 40882413636 = 3794898^2 + 202194^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14442133243986 and 14442133244004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20058518035 + ... + 20058518754.

Almost surely, 2^{14442133244040} is an apocalyptic number.

14442133244040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442133244040 is an abundant number, since it is smaller than the sum of its proper divisors (32494799800260).

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

14442133244040 is a wasteful number, since it uses less digits than its factorization.

14442133244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40117036806 (or 40117036799 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14442133244040 its reverse (4044233124441), we get a palindrome (18486366368481).

The spelling of 14442133244040 in words is "fourteen trillion, four hundred forty-two billion, one hundred thirty-three million, two hundred forty-four thousand, forty".