42115200 has 192 divisors, whose sum is σ = 143428320. Its totient is φ = 10854400.

The previous prime is 42115187. The next prime is 42115207. The reversal of 42115200 is 251124.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42115200.

It is not an unprimeable number, because it can be changed into a prime (42115207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393547 + ... + 393653.

Almost surely, 2^42115200 is an apocalyptic number.

42115200 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 42115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71714160).

42115200 is an abundant number, since it is smaller than the sum of its proper divisors (101313120).

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

42115200 is a wasteful number, since it uses less digits than its factorization.

42115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 42115200 is about 6489.6224851681. The cubic root of 42115200 is about 347.9201825135.

Adding to 42115200 its reverse (251124), we get a palindrome (42366324).

The spelling of 42115200 in words is "forty-two million, one hundred fifteen thousand, two hundred".