4012132124440 has 128 divisors (see below), whose sum is σ = 9968588144640. Its totient is φ = 1441153600000.

The previous prime is 4012132124411. The next prime is 4012132124443. The reversal of 4012132124440 is 444212312104.

4012132124440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4012132124399 and 4012132124408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012132124443) 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, 19048905 + ... + 19258375.

It is an arithmetic number, because the mean of its divisors is an integer number (77879594880).

Almost surely, 2^{4012132124440} is an apocalyptic number.

4012132124440 is a gapful number since it is divisible by the number (40) 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 4012132124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984294072320).

4012132124440 is an abundant number, since it is smaller than the sum of its proper divisors (5956456020200).

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

4012132124440 is a wasteful number, since it uses less digits than its factorization.

4012132124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210025 (or 210021 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4012132124440 its reverse (444212312104), we get a palindrome (4456344436544).

The spelling of 4012132124440 in words is "four trillion, twelve billion, one hundred thirty-two million, one hundred twenty-four thousand, four hundred forty".