42040800 has 108 divisors (see below), whose sum is σ = 148271760. Its totient is φ = 11208960.

The previous prime is 42040777. The next prime is 42040829. The reversal of 42040800 is 804024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4281 + ... + 10119.

Almost surely, 2^42040800 is an apocalyptic number.

42040800 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 42040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74135880).

42040800 is an abundant number, since it is smaller than the sum of its proper divisors (106230960).

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

42040800 is a wasteful number, since it uses less digits than its factorization.

42040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42040800 is about 6483.8877226553. The cubic root of 42040800 is about 347.7151851145.

Adding to 42040800 its reverse (804024), we get a palindrome (42844824).

The spelling of 42040800 in words is "forty-two million, forty thousand, eight hundred".