12349034742240 has 960 divisors, whose sum is σ = 52468877260800. Its totient is φ = 2672055558144.

The previous prime is 12349034742227. The next prime is 12349034742241. The reversal of 12349034742240 is 4224743094321.

12349034742240 is a `hidden beast` number, since 1 + 2 + 3 + 490 + 34 + 74 + 22 + 40 = 666.

12349034742240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12349034742241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3959291401 + ... + 3959294519.

It is an arithmetic number, because the mean of its divisors is an integer number (54655080480).

Almost surely, 2^{12349034742240} is an apocalyptic number.

12349034742240 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 12349034742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234438630400).

12349034742240 is an abundant number, since it is smaller than the sum of its proper divisors (40119842518560).

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

12349034742240 is a wasteful number, since it uses less digits than its factorization.

12349034742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 12349034742240 in words is "twelve trillion, three hundred forty-nine billion, thirty-four million, seven hundred forty-two thousand, two hundred forty".