21104419440 has 160 divisors (see below), whose sum is σ = 70550484480. Its totient is φ = 5187990528.

The previous prime is 21104419411. The next prime is 21104419471. The reversal of 21104419440 is 4491440112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21104419398 and 21104419407.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2563651 + ... + 2571869.

It is an arithmetic number, because the mean of its divisors is an integer number (440940528).

Almost surely, 2^21104419440 is an apocalyptic number.

21104419440 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 21104419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35275242240).

21104419440 is an abundant number, since it is smaller than the sum of its proper divisors (49446065040).

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

21104419440 is a wasteful number, since it uses less digits than its factorization.

21104419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071 (or 9065 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 21104419440 its reverse (4491440112), we get a palindrome (25595859552).

The spelling of 21104419440 in words is "twenty-one billion, one hundred four million, four hundred nineteen thousand, four hundred forty".