12034643040 has 432 divisors, whose sum is σ = 49550456592. Its totient is φ = 2750340096.

The previous prime is 12034643011. The next prime is 12034643041. The reversal of 12034643040 is 4034643021.

12034643040 is a `hidden beast` number, since 12 + 0 + 3 + 4 + 643 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12034642995 and 12034643013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034643041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1901962 + ... + 1908278.

It is an arithmetic number, because the mean of its divisors is an integer number (114700131).

Almost surely, 2^12034643040 is an apocalyptic number.

12034643040 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 12034643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775228296).

12034643040 is an abundant number, since it is smaller than the sum of its proper divisors (37515813552).

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

12034643040 is an equidigital number, since it uses as much as digits as its factorization.

12034643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 12034643040 in words is "twelve billion, thirty-four million, six hundred forty-three thousand, forty".