40011000 has 64 divisors (see below), whose sum is σ = 124843680. Its totient is φ = 10668800.

The previous prime is 40010989. The next prime is 40011001. The reversal of 40011000 is 11004.

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 a self number, because there is not a number n which added to its sum of digits gives 40011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40011001) 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 15 ways as a sum of consecutive naturals, for example, 3669 + ... + 9668.

Almost surely, 2^40011000 is an apocalyptic number.

40011000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40011000 is an abundant number, since it is smaller than the sum of its proper divisors (84832680).

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

40011000 is a wasteful number, since it uses less digits than its factorization.

40011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13361 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 40011000 is about 6325.4248869147. The cubic root of 40011000 is about 342.0265360211.

Adding to 40011000 its reverse (11004), we get a palindrome (40022004).

The spelling of 40011000 in words is "forty million, eleven thousand".