100442041402410 has 24 divisors (see below), whose sum is σ = 261149307646500. Its totient is φ = 26784544373952.

The previous prime is 100442041402403. The next prime is 100442041402411. The reversal of 100442041402410 is 14204140244001.

It is a happy number.

100442041402410 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 2 + 0 + 414 + 0 + 241 + 0 = 666.

100442041402410 is digitally balanced in base 4, 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 2 ways, for example, as 91701557144649 + 8740484257761 = 9576093^2 + 2956431^2 .

It is not an unprimeable number, because it can be changed into a prime (100442041402411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558011341035 + ... + 558011341214.

Almost surely, 2^{100442041402410} is an apocalyptic number.

100442041402410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100442041402410 is an abundant number, since it is smaller than the sum of its proper divisors (160707266244090).

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

100442041402410 is a wasteful number, since it uses less digits than its factorization.

100442041402410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116022682262 (or 1116022682259 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 100442041402410 its reverse (14204140244001), we get a palindrome (114646181646411).

The spelling of 100442041402410 in words is "one hundred trillion, four hundred forty-two billion, forty-one million, four hundred two thousand, four hundred ten".