42168900 has 144 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 10483200.

The previous prime is 42168899. The next prime is 42168901. The reversal of 42168900 is 986124.

It is an interprime number because it is at equal distance from previous prime (42168899) and next prime (42168901).

It is a super-2 number, since 2×42168900² = 3556432254420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42168901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321835 + ... + 321965.

It is an arithmetic number, because the mean of its divisors is an integer number (907060).

Almost surely, 2^42168900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

42168900 is an abundant number, since it is smaller than the sum of its proper divisors (88447740).

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

42168900 is a wasteful number, since it uses less digits than its factorization.

42168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 42168900 is about 6493.7585418616. The cubic root of 42168900 is about 348.0679943768.

The spelling of 42168900 in words is "forty-two million, one hundred sixty-eight thousand, nine hundred".