12034014025440 has 192 divisors, whose sum is σ = 41363314433280. Its totient is φ = 2916626595840.

The previous prime is 12034014025421. The next prime is 12034014025459. The reversal of 12034014025440 is 4452041043021.

It is an interprime number because it is at equal distance from previous prime (12034014025421) and next prime (12034014025459).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12034014025398 and 12034014025407.

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, 21578592 + ... + 22129248.

It is an arithmetic number, because the mean of its divisors is an integer number (215433929340).

Almost surely, 2^{12034014025440} is an apocalyptic number.

12034014025440 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 12034014025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20681657216640).

12034014025440 is an abundant number, since it is smaller than the sum of its proper divisors (29329300407840).

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

12034014025440 is a wasteful number, since it uses less digits than its factorization.

12034014025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554825 (or 554817 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 12034014025440 its reverse (4452041043021), we get a palindrome (16486055068461).

The spelling of 12034014025440 in words is "twelve trillion, thirty-four billion, fourteen million, twenty-five thousand, four hundred forty".