12114400440 has 128 divisors (see below), whose sum is σ = 36832320000. Its totient is φ = 3187327488.

The previous prime is 12114400427. The next prime is 12114400477. The reversal of 12114400440 is 4400441121.

It is a super-3 number, since 3×12114400440³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2783386 + ... + 2787734.

It is an arithmetic number, because the mean of its divisors is an integer number (287752500).

Almost surely, 2^12114400440 is an apocalyptic number.

12114400440 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 12114400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160000).

12114400440 is an abundant number, since it is smaller than the sum of its proper divisors (24717919560).

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

12114400440 is a wasteful number, since it uses less digits than its factorization.

12114400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12114400440 its reverse (4400441121), we get a palindrome (16514841561).

The spelling of 12114400440 in words is "twelve billion, one hundred fourteen million, four hundred thousand, four hundred forty".