12344873940 has 288 divisors, whose sum is σ = 44359870464. Its totient is φ = 2719319040.

The previous prime is 12344873939. The next prime is 12344873941. The reversal of 12344873940 is 4937844321.

12344873940 is a `hidden beast` number, since 123 + 4 + 487 + 3 + 9 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12344873939) and next prime (12344873941).

It is a super-2 number, since 2×12344873940² (a number of 21 digits) contains 22 as substring.

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 (12344873941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12381522 + ... + 12382518.

It is an arithmetic number, because the mean of its divisors is an integer number (154027328).

Almost surely, 2^12344873940 is an apocalyptic number.

12344873940 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 12344873940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22179935232).

12344873940 is an abundant number, since it is smaller than the sum of its proper divisors (32014996524).

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

12344873940 is a wasteful number, since it uses less digits than its factorization.

12344873940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12344873940 in words is "twelve billion, three hundred forty-four million, eight hundred seventy-three thousand, nine hundred forty".