40021183440 has 480 divisors, whose sum is σ = 157510918656. Its totient is φ = 8918138880.

The previous prime is 40021183429. The next prime is 40021183481. The reversal of 40021183440 is 4438112004.

40021183440 is a `hidden beast` number, since 4 + 0 + 0 + 211 + 8 + 3 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34709904 + ... + 34711056.

Almost surely, 2^40021183440 is an apocalyptic number.

40021183440 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 40021183440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78755459328).

40021183440 is an abundant number, since it is smaller than the sum of its proper divisors (117489735216).

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

40021183440 is a wasteful number, since it uses less digits than its factorization.

40021183440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40021183440 its reverse (4438112004), we get a palindrome (44459295444).

The spelling of 40021183440 in words is "forty billion, twenty-one million, one hundred eighty-three thousand, four hundred forty".