14004242041440 has 192 divisors, whose sum is σ = 50442153560064. Its totient is φ = 3199262803968.

The previous prime is 14004242041429. The next prime is 14004242041453. The reversal of 14004242041440 is 4414024240041.

It is a super-2 number, since 2×14004242041440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14004242041398 and 14004242041407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5196457 + ... + 7416983.

It is an arithmetic number, because the mean of its divisors is an integer number (262719549792).

Almost surely, 2^{14004242041440} is an apocalyptic number.

14004242041440 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 14004242041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25221076780032).

14004242041440 is an abundant number, since it is smaller than the sum of its proper divisors (36437911518624).

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

14004242041440 is a wasteful number, since it uses less digits than its factorization.

14004242041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222429 (or 2222421 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14004242041440 its reverse (4414024240041), we get a palindrome (18418266281481).

The spelling of 14004242041440 in words is "fourteen trillion, four billion, two hundred forty-two million, forty-one thousand, four hundred forty".