40444413113100 has 288 divisors, whose sum is σ = 128784568260096. Its totient is φ = 9757413273600.

The previous prime is 40444413113087. The next prime is 40444413113107. The reversal of 40444413113100 is 131131444404.

It is a super-2 number, since 2×40444413113100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40444413113107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14370945 + ... + 16953255.

It is an arithmetic number, because the mean of its divisors is an integer number (447168639792).

Almost surely, 2^{40444413113100} 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 40444413113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64392284130048).

40444413113100 is an abundant number, since it is smaller than the sum of its proper divisors (88340155146996).

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

40444413113100 is a wasteful number, since it uses less digits than its factorization.

40444413113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582465 (or 2582458 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 40444413113100 its reverse (131131444404), we get a palindrome (40575544557504).

The spelling of 40444413113100 in words is "forty trillion, four hundred forty-four billion, four hundred thirteen million, one hundred thirteen thousand, one hundred".