14040122133440 has 168 divisors, whose sum is σ = 36245908732320. Its totient is φ = 5177849524224.

The previous prime is 14040122133439. The next prime is 14040122133451. The reversal of 14040122133440 is 4433122104041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45218402 + ... + 45527838.

It is an arithmetic number, because the mean of its divisors is an integer number (215749456740).

Almost surely, 2^{14040122133440} is an apocalyptic number.

14040122133440 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 14040122133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18122954366160).

14040122133440 is an abundant number, since it is smaller than the sum of its proper divisors (22205786598880).

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

14040122133440 is a wasteful number, since it uses less digits than its factorization.

14040122133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310319 (or 310296 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 14040122133440 its reverse (4433122104041), we get a palindrome (18473244237481).

The spelling of 14040122133440 in words is "fourteen trillion, forty billion, one hundred twenty-two million, one hundred thirty-three thousand, four hundred forty".