12071815741440 has 3456 divisors, whose sum is σ = 57710047449600. Its totient is φ = 2397195730944.

The previous prime is 12071815741429. The next prime is 12071815741441. The reversal of 12071815741440 is 4414751817021.

12071815741440 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 18 + 157 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12071815741441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 710106808312 + ... + 710106808328.

It is an arithmetic number, because the mean of its divisors is an integer number (16698509100).

Almost surely, 2^{12071815741440} is an apocalyptic number.

12071815741440 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 12071815741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28855023724800).

12071815741440 is an abundant number, since it is smaller than the sum of its proper divisors (45638231708160).

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

12071815741440 is an frugal number, since it uses more digits than its factorization.

12071815741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 12071815741440 in words is "twelve trillion, seventy-one billion, eight hundred fifteen million, seven hundred forty-one thousand, four hundred forty".