444440040100 has 216 divisors, whose sum is σ = 1134352974888. Its totient is φ = 150693580800.

The previous prime is 444440040041. The next prime is 444440040101. The reversal of 444440040100 is 1040044444.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 342524585536 + 101915454564 = 585256^2 + 319242^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (444440040101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472305630 + ... + 472306570.

It is an arithmetic number, because the mean of its divisors is an integer number (5251634143).

Almost surely, 2^444440040100 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 444440040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567176487444).

444440040100 is an abundant number, since it is smaller than the sum of its proper divisors (689912934788).

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

444440040100 is a wasteful number, since it uses less digits than its factorization.

444440040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 444440040100 its reverse (1040044444), we get a palindrome (445480084544).

The spelling of 444440040100 in words is "four hundred forty-four billion, four hundred forty million, forty thousand, one hundred".