42514200 has 96 divisors (see below), whose sum is σ = 146456400. Its totient is φ = 11335680.

The previous prime is 42514181. The next prime is 42514207. The reversal of 42514200 is 241524.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42514207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464 + ... + 9336.

Almost surely, 2^42514200 is an apocalyptic number.

42514200 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 42514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73228200).

42514200 is an abundant number, since it is smaller than the sum of its proper divisors (103942200).

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

42514200 is a wasteful number, since it uses less digits than its factorization.

42514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42514200 is about 6520.2914045309. The cubic root of 42514200 is about 349.0154644313.

Adding to 42514200 its reverse (241524), we get a palindrome (42755724).

The spelling of 42514200 in words is "forty-two million, five hundred fourteen thousand, two hundred".