441231214100 has 36 divisors (see below), whose sum is σ = 1013793605244. Its totient is φ = 166110574080.

The previous prime is 441231214087. The next prime is 441231214121. The reversal of 441231214100 is 1412132144.

It can be written as a sum of positive squares in 6 ways, for example, as 37708979344 + 403522234756 = 194188^2 + 635234^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 129772187 + ... + 129775586.

It is an arithmetic number, because the mean of its divisors is an integer number (28160933479).

Almost surely, 2^441231214100 is an apocalyptic number.

It is an amenable number.

441231214100 is an abundant number, since it is smaller than the sum of its proper divisors (572562391144).

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

441231214100 is a wasteful number, since it uses less digits than its factorization.

441231214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259547804 (or 259547797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 441231214100 its reverse (1412132144), we get a palindrome (442643346244).

The spelling of 441231214100 in words is "four hundred forty-one billion, two hundred thirty-one million, two hundred fourteen thousand, one hundred".