12115440531440 has 80 divisors (see below), whose sum is σ = 28317596798880. Its totient is φ = 4820545720320.

The previous prime is 12115440531401. The next prime is 12115440531449. The reversal of 12115440531440 is 4413504451121.

12115440531440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12115440531440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115440531449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20207180 + ... + 20798100.

It is an arithmetic number, because the mean of its divisors is an integer number (353969959986).

Almost surely, 2^{12115440531440} is an apocalyptic number.

12115440531440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12115440531440 is an abundant number, since it is smaller than the sum of its proper divisors (16202156267440).

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

12115440531440 is a wasteful number, since it uses less digits than its factorization.

12115440531440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592290 (or 592284 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 12115440531440 its reverse (4413504451121), we get a palindrome (16528944982561).

The spelling of 12115440531440 in words is "twelve trillion, one hundred fifteen billion, four hundred forty million, five hundred thirty-one thousand, four hundred forty".