40005200 has 60 divisors (see below), whose sum is σ = 97145568. Its totient is φ = 15830400.

The previous prime is 40005197. The next prime is 40005227. The reversal of 40005200 is 250004.

It is a congruent number.

It is an unprimeable number.

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, 40715 + ... + 41685.

Almost surely, 2^40005200 is an apocalyptic number.

40005200 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 40005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48572784).

40005200 is an abundant number, since it is smaller than the sum of its proper divisors (57140368).

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

40005200 is a wasteful number, since it uses less digits than its factorization.

40005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 40005200 is about 6324.9664030728. The cubic root of 40005200 is about 342.0100084847.

Adding to 40005200 its reverse (250004), we get a palindrome (40255204).

The spelling of 40005200 in words is "forty million, five thousand, two hundred".