42104004100 has 72 divisors (see below), whose sum is σ = 92095043040. Its totient is φ = 16707621120.

The previous prime is 42104004097. The next prime is 42104004113. The reversal of 42104004100 is 140040124.

It is a super-2 number, since 2×42104004100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8177727 + ... + 8182873.

It is an arithmetic number, because the mean of its divisors is an integer number (1279097820).

Almost surely, 2^42104004100 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 42104004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46047521520).

42104004100 is an abundant number, since it is smaller than the sum of its proper divisors (49991038940).

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

42104004100 is a wasteful number, since it uses less digits than its factorization.

42104004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42104004100 its reverse (140040124), we get a palindrome (42244044224).

The spelling of 42104004100 in words is "forty-two billion, one hundred four million, four thousand, one hundred".