40004200 has 48 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 15875520.

The previous prime is 40004189. The next prime is 40004201. The reversal of 40004200 is 240004.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40004201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27081 + ... + 28519.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^40004200 is an apocalyptic number.

40004200 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 40004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

40004200 is an abundant number, since it is smaller than the sum of its proper divisors (53739800).

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

40004200 is a wasteful number, since it uses less digits than its factorization.

40004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 40004200 is about 6324.8873507755. The cubic root of 40004200 is about 342.0071587480.

Adding to 40004200 its reverse (240004), we get a palindrome (40244204).

It can be divided in two parts, 40004 and 200, that added together give a palindrome (40204).

The spelling of 40004200 in words is "forty million, four thousand, two hundred".