21014114640 has 80 divisors (see below), whose sum is σ = 65244002688. Its totient is φ = 5595140608.

The previous prime is 21014114617. The next prime is 21014114689. The reversal of 21014114640 is 4641141012.

It is a tau number, because it is divible by the number of its divisors (80).

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 21014114640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89677 + ... + 223763.

Almost surely, 2^21014114640 is an apocalyptic number.

21014114640 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 21014114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622001344).

21014114640 is an abundant number, since it is smaller than the sum of its proper divisors (44229888048).

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

21014114640 is a wasteful number, since it uses less digits than its factorization.

21014114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134756 (or 134750 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21014114640 its reverse (4641141012), we get a palindrome (25655255652).

The spelling of 21014114640 in words is "twenty-one billion, fourteen million, one hundred fourteen thousand, six hundred forty".