14434506240 has 720 divisors, whose sum is σ = 59188930416. Its totient is φ = 2989916160.

The previous prime is 14434506227. The next prime is 14434506241. The reversal of 14434506240 is 4260543441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434506241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45534562 + ... + 45534878.

Almost surely, 2^14434506240 is an apocalyptic number.

14434506240 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 14434506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29594465208).

14434506240 is an abundant number, since it is smaller than the sum of its proper divisors (44754424176).

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

14434506240 is a wasteful number, since it uses less digits than its factorization.

14434506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 14434506240 in words is "fourteen billion, four hundred thirty-four million, five hundred six thousand, two hundred forty".