42002442100 has 72 divisors (see below), whose sum is σ = 92160851328. Its totient is φ = 16614249600.

The previous prime is 42002442067. The next prime is 42002442101. The reversal of 42002442100 is 124420024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8453817 + ... + 8458783.

It is an arithmetic number, because the mean of its divisors is an integer number (1280011824).

Almost surely, 2^42002442100 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 42002442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080425664).

42002442100 is an abundant number, since it is smaller than the sum of its proper divisors (50158409228).

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

42002442100 is a wasteful number, since it uses less digits than its factorization.

42002442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 42002442100 its reverse (124420024), we get a palindrome (42126862124).

The spelling of 42002442100 in words is "forty-two billion, two million, four hundred forty-two thousand, one hundred".