12440039040 has 576 divisors, whose sum is σ = 50886337320. Its totient is φ = 2781757440.

The previous prime is 12440038999. The next prime is 12440039047. The reversal of 12440039040 is 4093004421.

It can be written as a sum of positive squares in 4 ways, for example, as 11207186496 + 1232852544 = 105864^2 + 35112^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 12440038995 and 12440039013.

It is not an unprimeable number, because it can be changed into a prime (12440039047) 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 71 ways as a sum of consecutive naturals, for example, 9059794 + ... + 9061166.

Almost surely, 2^12440039040 is an apocalyptic number.

12440039040 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 12440039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25443168660).

12440039040 is an abundant number, since it is smaller than the sum of its proper divisors (38446298280).

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

12440039040 is a wasteful number, since it uses less digits than its factorization.

12440039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12440039040 in words is "twelve billion, four hundred forty million, thirty-nine thousand, forty".