14242313040 has 120 divisors (see below), whose sum is σ = 46901298720. Its totient is φ = 3574523904.

The previous prime is 14242313027. The next prime is 14242313051. The reversal of 14242313040 is 4031324241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×14242313040³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14242313040.

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, 33310 + ... + 172029.

It is an arithmetic number, because the mean of its divisors is an integer number (390844156).

Almost surely, 2^14242313040 is an apocalyptic number.

14242313040 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 14242313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23450649360).

14242313040 is an abundant number, since it is smaller than the sum of its proper divisors (32658985680).

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

14242313040 is a wasteful number, since it uses less digits than its factorization.

14242313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205389 (or 205366 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14242313040 its reverse (4031324241), we get a palindrome (18273637281).

The spelling of 14242313040 in words is "fourteen billion, two hundred forty-two million, three hundred thirteen thousand, forty".