21414214400 has 108 divisors (see below), whose sum is σ = 55308407952. Its totient is φ = 8193208320.

The previous prime is 21414214397. The next prime is 21414214403. The reversal of 21414214400 is 441241412.

It is an interprime number because it is at equal distance from previous prime (21414214397) and next prime (21414214403).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (21414214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74462 + ... + 219938.

Almost surely, 2^21414214400 is an apocalyptic number.

21414214400 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 21414214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27654203976).

21414214400 is an abundant number, since it is smaller than the sum of its proper divisors (33894193552).

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

21414214400 is a wasteful number, since it uses less digits than its factorization.

21414214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145526 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 21414214400 its reverse (441241412), we get a palindrome (21855455812).

The spelling of 21414214400 in words is "twenty-one billion, four hundred fourteen million, two hundred fourteen thousand, four hundred".