42169200 has 60 divisors (see below), whose sum is σ = 135085848. Its totient is φ = 11244800.

The previous prime is 42169181. The next prime is 42169201. The reversal of 42169200 is 296124.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42169201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16371 + ... + 18770.

Almost surely, 2^42169200 is an apocalyptic number.

42169200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42169200 is an abundant number, since it is smaller than the sum of its proper divisors (92916648).

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

42169200 is a wasteful number, since it uses less digits than its factorization.

42169200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35162 (or 35151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42169200 is about 6493.7816409239. The cubic root of 42169200 is about 348.0688197888.

Subtracting from 42169200 its product of nonzero digits (864), we obtain a triangular number (42168336 = T₉₁₈₃).

The spelling of 42169200 in words is "forty-two million, one hundred sixty-nine thousand, two hundred".