42345349200 has 1080 divisors, whose sum is σ = 189020089440. Its totient is φ = 8680089600.

The previous prime is 42345349159. The next prime is 42345349201. The reversal of 42345349200 is 294354324.

42345349200 is a `hidden beast` number, since 4 + 2 + 34 + 534 + 92 + 0 + 0 = 666.

42345349200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42345349201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 269715522 + ... + 269715678.

Almost surely, 2^42345349200 is an apocalyptic number.

42345349200 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 42345349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94510044720).

42345349200 is an abundant number, since it is smaller than the sum of its proper divisors (146674740240).

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

42345349200 is a wasteful number, since it uses less digits than its factorization.

42345349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42345349200 in words is "forty-two billion, three hundred forty-five million, three hundred forty-nine thousand, two hundred".