40444110100 has 144 divisors (see below), whose sum is σ = 95685625728. Its totient is φ = 14778408960.

The previous prime is 40444110097. The next prime is 40444110121. The reversal of 40444110100 is 101144404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12206044 + ... + 12209356.

It is an arithmetic number, because the mean of its divisors is an integer number (664483512).

Almost surely, 2^40444110100 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 40444110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47842812864).

40444110100 is an abundant number, since it is smaller than the sum of its proper divisors (55241515628).

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

40444110100 is a wasteful number, since it uses less digits than its factorization.

40444110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 40444110100 its reverse (101144404), we get a palindrome (40545254504).

It can be divided in two parts, 40444 and 110100, that added together give a square (150544 = 388²).

The spelling of 40444110100 in words is "forty billion, four hundred forty-four million, one hundred ten thousand, one hundred".