42001114300 has 72 divisors (see below), whose sum is σ = 93335557392. Its totient is φ = 16396800000.

The previous prime is 42001114289. The next prime is 42001114303. The reversal of 42001114300 is 341110024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001114303) 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, 6881250 + ... + 6887350.

It is an arithmetic number, because the mean of its divisors is an integer number (1296327186).

Almost surely, 2^42001114300 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 42001114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46667778696).

42001114300 is an abundant number, since it is smaller than the sum of its proper divisors (51334443092).

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

42001114300 is a wasteful number, since it uses less digits than its factorization.

42001114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 42001114300 its reverse (341110024), we get a palindrome (42342224324).

The spelling of 42001114300 in words is "forty-two billion, one million, one hundred fourteen thousand, three hundred".