21332403430400 has 264 divisors, whose sum is σ = 53648649495840. Its totient is φ = 8409200394240.

The previous prime is 21332403430379. The next prime is 21332403430423. The reversal of 21332403430400 is 403430423312.

It is a super-2 number, since 2×21332403430400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 869030927 + ... + 869055473.

Almost surely, 2^{21332403430400} is an apocalyptic number.

21332403430400 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 21332403430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26824324747920).

21332403430400 is an abundant number, since it is smaller than the sum of its proper divisors (32316246065440).

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

21332403430400 is a wasteful number, since it uses less digits than its factorization.

21332403430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069 (or 25046 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 21332403430400 its reverse (403430423312), we get a palindrome (21735833853712).

The spelling of 21332403430400 in words is "twenty-one trillion, three hundred thirty-two billion, four hundred three million, four hundred thirty thousand, four hundred".