444121034100 has 144 divisors (see below), whose sum is σ = 1309379111040. Its totient is φ = 116205580800.

The previous prime is 444121034099. The next prime is 444121034107. The reversal of 444121034100 is 1430121444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444121034107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3302170 + ... + 3434030.

Almost surely, 2^444121034100 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 444121034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654689555520).

444121034100 is an abundant number, since it is smaller than the sum of its proper divisors (865258076940).

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

444121034100 is a wasteful number, since it uses less digits than its factorization.

444121034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132090 (or 132083 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444121034100 its reverse (1430121444), we get a palindrome (445551155544).

The spelling of 444121034100 in words is "four hundred forty-four billion, one hundred twenty-one million, thirty-four thousand, one hundred".