42114033200 has 120 divisors (see below), whose sum is σ = 106415081856. Its totient is φ = 15994368000.

The previous prime is 42114033191. The next prime is 42114033209. The reversal of 42114033200 is 233041124.

It is an interprime number because it is at equal distance from previous prime (42114033191) and next prime (42114033209).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42114033209) 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, 625160 + ... + 689240.

Almost surely, 2^42114033200 is an apocalyptic number.

42114033200 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 42114033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53207540928).

42114033200 is an abundant number, since it is smaller than the sum of its proper divisors (64301048656).

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

42114033200 is a wasteful number, since it uses less digits than its factorization.

42114033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64183 (or 64172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42114033200 its reverse (233041124), we get a palindrome (42347074324).

The spelling of 42114033200 in words is "forty-two billion, one hundred fourteen million, thirty-three thousand, two hundred".