441245402100 has 288 divisors, whose sum is σ = 1498488257280. Its totient is φ = 112548268800.

The previous prime is 441245402089. The next prime is 441245402137. The reversal of 441245402100 is 1204542144.

441245402100 is a `hidden beast` number, since 4 + 4 + 1 + 245 + 402 + 10 + 0 = 666.

441245402100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4986240 + ... + 5073960.

Almost surely, 2^441245402100 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 441245402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749244128640).

441245402100 is an abundant number, since it is smaller than the sum of its proper divisors (1057242855180).

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

441245402100 is a wasteful number, since it uses less digits than its factorization.

441245402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87779 (or 87754 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 441245402100 its reverse (1204542144), we get a palindrome (442449944244).

The spelling of 441245402100 in words is "four hundred forty-one billion, two hundred forty-five million, four hundred two thousand, one hundred".