21642014416 has 80 divisors (see below), whose sum is σ = 46205042688. Its totient is φ = 9738518400.

The previous prime is 21642014393. The next prime is 21642014417. The reversal of 21642014416 is 61441024612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21642014417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7494925 + ... + 7497811.

Almost surely, 2^21642014416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21642014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23102521344).

21642014416 is an abundant number, since it is smaller than the sum of its proper divisors (24563028272).

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

21642014416 is a wasteful number, since it uses less digits than its factorization.

21642014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 21642014416 in words is "twenty-one billion, six hundred forty-two million, fourteen thousand, four hundred sixteen".