12209178493440 has 1440 divisors, whose sum is σ = 46418247635760. Its totient is φ = 2962860539904.

The previous prime is 12209178493409. The next prime is 12209178493541. The reversal of 12209178493440 is 4439487190221.

12209178493440 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 91 + 78 + 49 + 3 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10264693268736 + 1944485224704 = 3203856^2 + 1394448^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29851291956 + ... + 29851292364.

Almost surely, 2^{12209178493440} is an apocalyptic number.

12209178493440 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 12209178493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23209123817880).

12209178493440 is an abundant number, since it is smaller than the sum of its proper divisors (34209069142320).

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

12209178493440 is a wasteful number, since it uses less digits than its factorization.

12209178493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 12209178493440 in words is "twelve trillion, two hundred nine billion, one hundred seventy-eight million, four hundred ninety-three thousand, four hundred forty".