40042200 has 96 divisors (see below), whose sum is σ = 135437760. Its totient is φ = 9705600.

The previous prime is 40042187. The next prime is 40042213. The reversal of 40042200 is 224004.

It is an interprime number because it is at equal distance from previous prime (40042187) and next prime (40042213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 3567 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (1410810).

Almost surely, 2^40042200 is an apocalyptic number.

40042200 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 40042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67718880).

40042200 is an abundant number, since it is smaller than the sum of its proper divisors (95395560).

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

40042200 is a wasteful number, since it uses less digits than its factorization.

40042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40042200 is about 6327.8906438086. The cubic root of 40042200 is about 342.1154153740.

Adding to 40042200 its reverse (224004), we get a palindrome (40266204).

The spelling of 40042200 in words is "forty million, forty-two thousand, two hundred".