40205000 has 160 divisors (see below), whose sum is σ = 111339360. Its totient is φ = 13440000.

The previous prime is 40204981. The next prime is 40205003. The reversal of 40205000 is 50204.

40205000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (40205003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 934979 + ... + 935021.

It is an arithmetic number, because the mean of its divisors is an integer number (695871).

Almost surely, 2^40205000 is an apocalyptic number.

40205000 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 40205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55669680).

40205000 is an abundant number, since it is smaller than the sum of its proper divisors (71134360).

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

40205000 is a wasteful number, since it uses less digits than its factorization.

40205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

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

The square root of 40205000 is about 6340.7412815853. The cubic root of 40205000 is about 342.5784358695.

Adding to 40205000 its reverse (50204), we get a palindrome (40255204).

The spelling of 40205000 in words is "forty million, two hundred five thousand".