42100204000 has 96 divisors (see below), whose sum is σ = 104603335200. Its totient is φ = 16650726400.

The previous prime is 42100203989. The next prime is 42100204021. The reversal of 42100204000 is 40200124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296871 + ... + 415129.

It is an arithmetic number, because the mean of its divisors is an integer number (1089618075).

Almost surely, 2^42100204000 is an apocalyptic number.

42100204000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52301667600).

42100204000 is an abundant number, since it is smaller than the sum of its proper divisors (62503131200).

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

42100204000 is a wasteful number, since it uses less digits than its factorization.

42100204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118373 (or 118355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 42100204000 its reverse (40200124), we get a palindrome (42140404124).

The spelling of 42100204000 in words is "forty-two billion, one hundred million, two hundred four thousand".