14134542240 has 384 divisors, whose sum is σ = 55187177472. Its totient is φ = 2961100800.

The previous prime is 14134542221. The next prime is 14134542241. The reversal of 14134542240 is 4224543141.

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 = 14134542198 and 14134542207.

It is not an unprimeable number, because it can be changed into a prime (14134542241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6594609 + ... + 6596751.

It is an arithmetic number, because the mean of its divisors is an integer number (143716608).

Almost surely, 2^14134542240 is an apocalyptic number.

14134542240 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 14134542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27593588736).

14134542240 is an abundant number, since it is smaller than the sum of its proper divisors (41052635232).

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

14134542240 is a wasteful number, since it uses less digits than its factorization.

14134542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Subtracting from 14134542240 its reverse (4224543141), we obtain a palindrome (9909999099).

The spelling of 14134542240 in words is "fourteen billion, one hundred thirty-four million, five hundred forty-two thousand, two hundred forty".