14338540000 has 240 divisors, whose sum is σ = 37610773200. Its totient is φ = 5363712000.

The previous prime is 14338539983. The next prime is 14338540031. The reversal of 14338540000 is 4583341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36859806 + ... + 36860194.

It is an arithmetic number, because the mean of its divisors is an integer number (156711555).

Almost surely, 2^14338540000 is an apocalyptic number.

14338540000 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 14338540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805386600).

14338540000 is an abundant number, since it is smaller than the sum of its proper divisors (23272233200).

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

14338540000 is an equidigital number, since it uses as much as digits as its factorization.

14338540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 14338540000 in words is "fourteen billion, three hundred thirty-eight million, five hundred forty thousand".