21113000040 has 128 divisors (see below), whose sum is σ = 69131905920. Its totient is φ = 5115724800.

The previous prime is 21113000039. The next prime is 21113000071. The reversal of 21113000040 is 4000031112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 4671862 + ... + 4676378.

It is an arithmetic number, because the mean of its divisors is an integer number (540093015).

Almost surely, 2^21113000040 is an apocalyptic number.

21113000040 is a gapful number since it is divisible by the number (20) 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 21113000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34565952960).

21113000040 is an abundant number, since it is smaller than the sum of its proper divisors (48018905880).

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

21113000040 is a wasteful number, since it uses less digits than its factorization.

21113000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21113000040 its reverse (4000031112), we get a palindrome (25113031152).

The spelling of 21113000040 in words is "twenty-one billion, one hundred thirteen million, forty", and thus it is an aban number.