21331120416 has 48 divisors (see below), whose sum is σ = 57507557184. Its totient is φ = 6918200064.

The previous prime is 21331120399. The next prime is 21331120451. The reversal of 21331120416 is 61402113312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 2999140 + ... + 3006243.

It is an arithmetic number, because the mean of its divisors is an integer number (1198074108).

Almost surely, 2^21331120416 is an apocalyptic number.

It is an amenable number.

21331120416 is an abundant number, since it is smaller than the sum of its proper divisors (36176436768).

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

21331120416 is a wasteful number, since it uses less digits than its factorization.

21331120416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005433 (or 6005425 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21331120416 its reverse (61402113312), we get a palindrome (82733233728).

The spelling of 21331120416 in words is "twenty-one billion, three hundred thirty-one million, one hundred twenty thousand, four hundred sixteen".