12175300045440 has 1280 divisors, whose sum is σ = 52713886579200. Its totient is φ = 2614288711680.

The previous prime is 12175300045427. The next prime is 12175300045459. The reversal of 12175300045440 is 4454000357121.

12175300045440 is a `hidden beast` number, since 1 + 2 + 175 + 3 + 0 + 0 + 0 + 45 + 440 = 666.

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 = 12175300045395 and 12175300045404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3954301821 + ... + 3954304899.

It is an arithmetic number, because the mean of its divisors is an integer number (41182723890).

Almost surely, 2^{12175300045440} is an apocalyptic number.

12175300045440 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 12175300045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26356943289600).

12175300045440 is an abundant number, since it is smaller than the sum of its proper divisors (40538586533760).

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

12175300045440 is a wasteful number, since it uses less digits than its factorization.

12175300045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12175300045440 in words is "twelve trillion, one hundred seventy-five billion, three hundred million, forty-five thousand, four hundred forty".