4000444010740 has 96 divisors (see below), whose sum is σ = 8696174256000. Its totient is φ = 1544828313600.

The previous prime is 4000444010737. The next prime is 4000444010741. The reversal of 4000444010740 is 470104440004.

It is a happy number.

4000444010740 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 = 4000444010699 and 4000444010708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000444010741) 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, 37866511 + ... + 37972009.

It is an arithmetic number, because the mean of its divisors is an integer number (90585148500).

Almost surely, 2^{4000444010740} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000444010740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348087128000).

4000444010740 is an abundant number, since it is smaller than the sum of its proper divisors (4695730245260).

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

4000444010740 is a wasteful number, since it uses less digits than its factorization.

4000444010740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106033 (or 106031 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

Adding to 4000444010740 its reverse (470104440004), we get a palindrome (4470548450744).

The spelling of 4000444010740 in words is "four trillion, four hundred forty-four million, ten thousand, seven hundred forty".