42024410200 has 96 divisors (see below), whose sum is σ = 99737321760. Its totient is φ = 16461619200.

The previous prime is 42024410191. The next prime is 42024410209. The reversal of 42024410200 is 201442024.

It is an interprime number because it is at equal distance from previous prime (42024410191) and next prime (42024410209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024410209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6112765 + ... + 6119635.

It is an arithmetic number, because the mean of its divisors is an integer number (1038930435).

Almost surely, 2^42024410200 is an apocalyptic number.

42024410200 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 42024410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49868660880).

42024410200 is an abundant number, since it is smaller than the sum of its proper divisors (57712911560).

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

42024410200 is a wasteful number, since it uses less digits than its factorization.

42024410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7508 counting only the distinct ones).

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

Adding to 42024410200 its reverse (201442024), we get a palindrome (42225852224).

The spelling of 42024410200 in words is "forty-two billion, twenty-four million, four hundred ten thousand, two hundred".