42025200 has 120 divisors (see below), whose sum is σ = 153883008. Its totient is φ = 9603840.

The previous prime is 42025199. The next prime is 42025223. The reversal of 42025200 is 252024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42025200² = 3532234870080000, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 42025200.

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, 5899 + ... + 10901.

Almost surely, 2^42025200 is an apocalyptic number.

42025200 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 42025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76941504).

42025200 is an abundant number, since it is smaller than the sum of its proper divisors (111857808).

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

42025200 is a wasteful number, since it uses less digits than its factorization.

42025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5031 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42025200 is about 6482.6846290715. The cubic root of 42025200 is about 347.6721711221.

Adding to 42025200 its reverse (252024), we get a palindrome (42277224).

The spelling of 42025200 in words is "forty-two million, twenty-five thousand, two hundred".