40444000040 has 32 divisors (see below), whose sum is σ = 91025604360. Its totient is φ = 16172870400.

The previous prime is 40444000007. The next prime is 40444000049. The reversal of 40444000040 is 4000044404.

40444000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28637439076 + 11806560964 = 169226^2 + 108658^2 .

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 = 40443999976 and 40444000021.

It is not an unprimeable number, because it can be changed into a prime (40444000049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7631 + ... + 284510.

Almost surely, 2^40444000040 is an apocalyptic number.

40444000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444000040 is an abundant number, since it is smaller than the sum of its proper divisors (50581604320).

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

40444000040 is a wasteful number, since it uses less digits than its factorization.

40444000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295613 (or 295609 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40444000040 its reverse (4000044404), we get a palindrome (44444044444).

The spelling of 40444000040 in words is "forty billion, four hundred forty-four million, forty", and thus it is an aban number.