12794423040 has 1080 divisors, whose sum is σ = 56490780192. Its totient is φ = 2707292160.

The previous prime is 12794423021. The next prime is 12794423099. The reversal of 12794423040 is 4032449721.

12794423040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 12794422986 and 12794423004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 209744610 + ... + 209744670.

Almost surely, 2^12794423040 is an apocalyptic number.

12794423040 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 12794423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28245390096).

12794423040 is an abundant number, since it is smaller than the sum of its proper divisors (43696357152).

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

12794423040 is an equidigital number, since it uses as much as digits as its factorization.

12794423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12794423040 in words is "twelve billion, seven hundred ninety-four million, four hundred twenty-three thousand, forty".