14121114240 has 128 divisors (see below), whose sum is σ = 45200851200. Its totient is φ = 3749752832.

The previous prime is 14121114239. The next prime is 14121114283. The reversal of 14121114240 is 4241112141.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443494 + ... + 474266.

It is an arithmetic number, because the mean of its divisors is an integer number (353131650).

Almost surely, 2^14121114240 is an apocalyptic number.

14121114240 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 14121114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600425600).

14121114240 is an abundant number, since it is smaller than the sum of its proper divisors (31079736960).

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

14121114240 is a wasteful number, since it uses less digits than its factorization.

14121114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31034 (or 31022 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 14121114240 its reverse (4241112141), we get a palindrome (18362226381).

The spelling of 14121114240 in words is "fourteen billion, one hundred twenty-one million, one hundred fourteen thousand, two hundred forty".