12074135040 has 720 divisors, whose sum is σ = 47374655328. Its totient is φ = 2838528000.

The previous prime is 12074135033. The next prime is 12074135069. The reversal of 12074135040 is 4053147021.

12074135040 is a `hidden beast` number, since 1 + 207 + 413 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12074134995 and 12074135013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170058205 + ... + 170058275.

Almost surely, 2^12074135040 is an apocalyptic number.

12074135040 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 12074135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687327664).

12074135040 is an abundant number, since it is smaller than the sum of its proper divisors (35300520288).

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

12074135040 is a wasteful number, since it uses less digits than its factorization.

12074135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 12074135040 in words is "twelve billion, seventy-four million, one hundred thirty-five thousand, forty".