42091800 has 144 divisors (see below), whose sum is σ = 136676520. Its totient is φ = 10713600.

The previous prime is 42091787. The next prime is 42091801. The reversal of 42091800 is 819024.

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 (42091801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576564 + ... + 576636.

Almost surely, 2^42091800 is an apocalyptic number.

42091800 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 42091800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68338260).

42091800 is an abundant number, since it is smaller than the sum of its proper divisors (94584720).

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

42091800 is a wasteful number, since it uses less digits than its factorization.

42091800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 42091800 is about 6487.8193563015. The cubic root of 42091800 is about 347.8557335690.

The spelling of 42091800 in words is "forty-two million, ninety-one thousand, eight hundred".