40444134120 has 96 divisors (see below), whose sum is σ = 141554485800. Its totient is φ = 9955478016.

The previous prime is 40444134113. The next prime is 40444134127. The reversal of 40444134120 is 2143144404.

40444134120 is a `hidden beast` number, since 404 + 4 + 4 + 134 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (40444134113) and next prime (40444134127).

It can be written as a sum of positive squares in 4 ways, for example, as 19609521156 + 20834612964 = 140034^2 + 144342^2 .

It is not an unprimeable number, because it can be changed into a prime (40444134127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4316275 + ... + 4325634.

Almost surely, 2^40444134120 is an apocalyptic number.

40444134120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444134120 is an abundant number, since it is smaller than the sum of its proper divisors (101110351680).

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

40444134120 is a wasteful number, since it uses less digits than its factorization.

40444134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641939 (or 8641932 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40444134120 its reverse (2143144404), we get a palindrome (42587278524).

The spelling of 40444134120 in words is "forty billion, four hundred forty-four million, one hundred thirty-four thousand, one hundred twenty".