40020000444 has 72 divisors (see below), whose sum is σ = 103115415312. Its totient is φ = 13082584320.

The previous prime is 40020000439. The next prime is 40020000457. The reversal of 40020000444 is 44400002004.

It is a happy number.

40020000444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8471067 + ... + 8475789.

It is an arithmetic number, because the mean of its divisors is an integer number (1432158546).

Almost surely, 2^40020000444 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 40020000444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51557707656).

40020000444 is an abundant number, since it is smaller than the sum of its proper divisors (63095414868).

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

40020000444 is a wasteful number, since it uses less digits than its factorization.

40020000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9227 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40020000444 its reverse (44400002004), we get a palindrome (84420002448).

The spelling of 40020000444 in words is "forty billion, twenty million, four hundred forty-four", and thus it is an aban number.