12075935365440 has 84 divisors (see below), whose sum is σ = 41536186027284. Its totient is φ = 3220249430016.

The previous prime is 12075935365411. The next prime is 12075935365447. The reversal of 12075935365440 is 4456353957021.

12075935365440 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 5 + 93 + 5 + 3 + 6 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7998217484544 + 4077717880896 = 2828112^2 + 2019336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12075935365447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2096513677 + ... + 2096519436.

Almost surely, 2^{12075935365440} is an apocalyptic number.

12075935365440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12075935365440 is an abundant number, since it is smaller than the sum of its proper divisors (29460250661844).

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

12075935365440 is a wasteful number, since it uses less digits than its factorization.

12075935365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193033136 (or 4193033123 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 12075935365440 in words is "twelve trillion, seventy-five billion, nine hundred thirty-five million, three hundred sixty-five thousand, four hundred forty".