21114133440 has 224 divisors, whose sum is σ = 68281052160. Its totient is φ = 5526614016.

The previous prime is 21114133409. The next prime is 21114133441. The reversal of 21114133440 is 4433141112.

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 21114133440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114133441) by changing a digit.

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, 29779806 + ... + 29780514.

Almost surely, 2^21114133440 is an apocalyptic number.

21114133440 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 21114133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34140526080).

21114133440 is an abundant number, since it is smaller than the sum of its proper divisors (47166918720).

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

21114133440 is a wasteful number, since it uses less digits than its factorization.

21114133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21114133440 its reverse (4433141112), we get a palindrome (25547274552).

The spelling of 21114133440 in words is "twenty-one billion, one hundred fourteen million, one hundred thirty-three thousand, four hundred forty".