40200 has 48 divisors (see below), whose sum is σ = 126480. Its totient is φ = 10560.

The previous prime is 40193. The next prime is 40213. The reversal of 40200 is 204.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

40200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (2635).

2⁴⁰²⁰⁰ is an apocalyptic number.

40200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 200×201.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63240).

40200 is an abundant number, since it is smaller than the sum of its proper divisors (86280).

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

40200 is a wasteful number, since it uses less digits than its factorization.

40200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 40200 is about 200.4993765576. The cubic root of 40200 is about 34.2564233961.

Adding to 40200 its reverse (204), we get a palindrome (40404).

It can be divided in two parts, 40 and 200, that multiplied together give a cube (8000 = 20³).

The spelling of 40200 in words is "forty thousand, two hundred", and thus it is an iban number.