444121332434100 has 72 divisors (see below), whose sum is σ = 1427767839093120. Its totient is φ = 118432355315040.

The previous prime is 444121332434081. The next prime is 444121332434173. The reversal of 444121332434100 is 1434233121444.

444121332434100 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 213 + 3 + 2 + 434 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 82244688492 + ... + 82244693891.

Almost surely, 2^{444121332434100} is an apocalyptic number.

It is an amenable number.

444121332434100 is an abundant number, since it is smaller than the sum of its proper divisors (983646506659020).

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

444121332434100 is a wasteful number, since it uses less digits than its factorization.

444121332434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164489382406 (or 164489382393 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 444121332434100 its reverse (1434233121444), we get a palindrome (445555565555544).

The spelling of 444121332434100 in words is "four hundred forty-four trillion, one hundred twenty-one billion, three hundred thirty-two million, four hundred thirty-four thousand, one hundred".