444031121100 has 144 divisors (see below), whose sum is σ = 1471964066048. Its totient is φ = 101236988160.

The previous prime is 444031121089. The next prime is 444031121113. The reversal of 444031121100 is 1121130444.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 567399 + ... + 1100001.

Almost surely, 2^444031121100 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 444031121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735982033024).

444031121100 is an abundant number, since it is smaller than the sum of its proper divisors (1027932944948).

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

444031121100 is a wasteful number, since it uses less digits than its factorization.

444031121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533024 (or 533017 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 444031121100 its reverse (1121130444), we get a palindrome (445152251544).

The spelling of 444031121100 in words is "four hundred forty-four billion, thirty-one million, one hundred twenty-one thousand, one hundred".