21110415424 has 224 divisors, whose sum is σ = 51829817600. Its totient is φ = 8330895360.

The previous prime is 21110415383. The next prime is 21110415437. The reversal of 21110415424 is 42451401112.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56596102 + ... + 56596474.

Almost surely, 2^21110415424 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 21110415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25914908800).

21110415424 is an abundant number, since it is smaller than the sum of its proper divisors (30719402176).

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

21110415424 is a wasteful number, since it uses less digits than its factorization.

21110415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 21110415424 its reverse (42451401112), we get a palindrome (63561816536).

The spelling of 21110415424 in words is "twenty-one billion, one hundred ten million, four hundred fifteen thousand, four hundred twenty-four".