12461194760040 has 192 divisors, whose sum is σ = 43615937186640. Its totient is φ = 3067247554560.

The previous prime is 12461194760039. The next prime is 12461194760083. The reversal of 12461194760040 is 4006749116421.

12461194760040 is a `hidden beast` number, since 1 + 2 + 461 + 1 + 94 + 7 + 60 + 0 + 40 = 666.

12461194760040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10219952221956 + 2241242538084 = 3196866^2 + 1497078^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183108420 + ... + 183176460.

Almost surely, 2^{12461194760040} is an apocalyptic number.

12461194760040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12461194760040 is an abundant number, since it is smaller than the sum of its proper divisors (31154742426600).

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

12461194760040 is a wasteful number, since it uses less digits than its factorization.

12461194760040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107204 (or 107197 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12461194760040 in words is "twelve trillion, four hundred sixty-one billion, one hundred ninety-four million, seven hundred sixty thousand, forty".