40005000 has 240 divisors, whose sum is σ = 155950080. Its totient is φ = 9072000.

The previous prime is 40004999. The next prime is 40005001. The reversal of 40005000 is 50004.

It is an interprime number because it is at equal distance from previous prime (40004999) and next prime (40005001).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is not an unprimeable number, because it can be changed into a prime (40005001) 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 59 ways as a sum of consecutive naturals, for example, 314937 + ... + 315063.

It is an arithmetic number, because the mean of its divisors is an integer number (649792).

Almost surely, 2^40005000 is an apocalyptic number.

40005000 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 40005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77975040).

40005000 is an abundant number, since it is smaller than the sum of its proper divisors (115945080).

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

40005000 is a wasteful number, since it uses less digits than its factorization.

40005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 40005000 is about 6324.9505926924. The cubic root of 40005000 is about 342.0094385412.

Adding to 40005000 its reverse (50004), we get a palindrome (40055004).

The spelling of 40005000 in words is "forty million, five thousand".