441133100123100 has 288 divisors, whose sum is σ = 1593909012627456. Its totient is φ = 91513006329600.

The previous prime is 441133100123077. The next prime is 441133100123117. The reversal of 441133100123100 is 1321001331144.

It is a happy number.

It is a super-2 number, since 2×441133100123100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1708672 + ... + 29752071.

Almost surely, 2^{441133100123100} 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 441133100123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796954506313728).

441133100123100 is an abundant number, since it is smaller than the sum of its proper divisors (1152775912504356).

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

441133100123100 is a wasteful number, since it uses less digits than its factorization.

441133100123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31461385 (or 31461378 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 441133100123100 its reverse (1321001331144), we get a palindrome (442454101454244).

The spelling of 441133100123100 in words is "four hundred forty-one trillion, one hundred thirty-three billion, one hundred million, one hundred twenty-three thousand, one hundred".