12014232733440 has 2304 divisors, whose sum is σ = 52132792320000. Its totient is φ = 2562181300224.

The previous prime is 12014232733439. The next prime is 12014232733471. The reversal of 12014232733440 is 4433723241021.

12014232733440 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 42 + 3 + 273 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×12014232733440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12014232733395 and 12014232733404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29374651956 + ... + 29374652364.

It is an arithmetic number, because the mean of its divisors is an integer number (22627080000).

Almost surely, 2^{12014232733440} is an apocalyptic number.

12014232733440 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 12014232733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26066396160000).

12014232733440 is an abundant number, since it is smaller than the sum of its proper divisors (40118559586560).

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

12014232733440 is a wasteful number, since it uses less digits than its factorization.

12014232733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 12014232733440 its reverse (4433723241021), we get a palindrome (16447955974461).

The spelling of 12014232733440 in words is "twelve trillion, fourteen billion, two hundred thirty-two million, seven hundred thirty-three thousand, four hundred forty".