42441203224100 has 36 divisors (see below), whose sum is σ = 92100040311300. Its totient is φ = 16975996623360.

The previous prime is 42441203224009. The next prime is 42441203224111. The reversal of 42441203224100 is 142230214424.

It is a happy number.

42441203224100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12483883828516 + 29957319395584 = 3533254^2 + 5473328^2 .

It is a super-2 number, since 2×42441203224100² (a number of 28 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2527865 + ... + 9553664.

Almost surely, 2^{42441203224100} is an apocalyptic number.

It is an amenable number.

42441203224100 is an abundant number, since it is smaller than the sum of its proper divisors (49658837087200).

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

42441203224100 is a wasteful number, since it uses less digits than its factorization.

42441203224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12116672 (or 12116665 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 42441203224100 its reverse (142230214424), we get a palindrome (42583433438524).

The spelling of 42441203224100 in words is "forty-two trillion, four hundred forty-one billion, two hundred three million, two hundred twenty-four thousand, one hundred".