12442344040 has 128 divisors (see below), whose sum is σ = 33508546560. Its totient is φ = 4065456384.

The previous prime is 12442344029. The next prime is 12442344041. The reversal of 12442344040 is 4044324421.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12442344041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819107 + ... + 1825933.

It is an arithmetic number, because the mean of its divisors is an integer number (261785520).

Almost surely, 2^12442344040 is an apocalyptic number.

12442344040 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 12442344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16754273280).

12442344040 is an abundant number, since it is smaller than the sum of its proper divisors (21066202520).

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

12442344040 is a wasteful number, since it uses less digits than its factorization.

12442344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 12442344040 its reverse (4044324421), we get a palindrome (16486668461).

The spelling of 12442344040 in words is "twelve billion, four hundred forty-two million, three hundred forty-four thousand, forty".