21113314440 has 128 divisors (see below), whose sum is σ = 65430236160. Its totient is φ = 5446185984.

The previous prime is 21113314427. The next prime is 21113314451. The reversal of 21113314440 is 4441331112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21113314440.

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, 754377 + ... + 781863.

It is an arithmetic number, because the mean of its divisors is an integer number (511173720).

Almost surely, 2^21113314440 is an apocalyptic number.

21113314440 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 21113314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32715118080).

21113314440 is an abundant number, since it is smaller than the sum of its proper divisors (44316921720).

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

21113314440 is a wasteful number, since it uses less digits than its factorization.

21113314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27711 (or 27707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21113314440 its reverse (4441331112), we get a palindrome (25554645552).

The spelling of 21113314440 in words is "twenty-one billion, one hundred thirteen million, three hundred fourteen thousand, four hundred forty".