12144400040 has 64 divisors (see below), whose sum is σ = 28225704960. Its totient is φ = 4697832960.

The previous prime is 12144400027. The next prime is 12144400049. The reversal of 12144400040 is 4000444121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12144399985 and 12144400021.

It is not an unprimeable number, because it can be changed into a prime (12144400049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2647589 + ... + 2652171.

It is an arithmetic number, because the mean of its divisors is an integer number (441026640).

Almost surely, 2^12144400040 is an apocalyptic number.

12144400040 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 12144400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112852480).

12144400040 is an abundant number, since it is smaller than the sum of its proper divisors (16081304920).

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

12144400040 is a wasteful number, since it uses less digits than its factorization.

12144400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12144400040 its reverse (4000444121), we get a palindrome (16144844161).

The spelling of 12144400040 in words is "twelve billion, one hundred forty-four million, four hundred thousand, forty".