42345045200 has 120 divisors (see below), whose sum is σ = 106585201920. Its totient is φ = 16146662400.

The previous prime is 42345045181. The next prime is 42345045251. The reversal of 42345045200 is 254054324.

It is a congruent number.

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, 805316 + ... + 856284.

It is an arithmetic number, because the mean of its divisors is an integer number (888210016).

Almost surely, 2^42345045200 is an apocalyptic number.

42345045200 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 42345045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53292600960).

42345045200 is an abundant number, since it is smaller than the sum of its proper divisors (64240156720).

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

42345045200 is a wasteful number, since it uses less digits than its factorization.

42345045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51085 (or 51074 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 42345045200 its reverse (254054324), we get a palindrome (42599099524).

The spelling of 42345045200 in words is "forty-two billion, three hundred forty-five million, forty-five thousand, two hundred".