14242000344 has 128 divisors (see below), whose sum is σ = 42236812800. Its totient is φ = 3945000960.

The previous prime is 14242000327. The next prime is 14242000379. The reversal of 14242000344 is 44300024241.

It is a happy number.

It is a super-2 number, since 2×14242000344² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 333352 + ... + 373640.

It is an arithmetic number, because the mean of its divisors is an integer number (329975100).

Almost surely, 2^14242000344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14242000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118406400).

14242000344 is an abundant number, since it is smaller than the sum of its proper divisors (27994812456).

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

14242000344 is a wasteful number, since it uses less digits than its factorization.

14242000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40425 (or 40421 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14242000344 its reverse (44300024241), we get a palindrome (58542024585).

The spelling of 14242000344 in words is "fourteen billion, two hundred forty-two million, three hundred forty-four", and thus it is an aban number.