21451430000 has 400 divisors, whose sum is σ = 69764868096. Its totient is φ = 6168960000.

The previous prime is 21451429963. The next prime is 21451430009. The reversal of 21451430000 is 3415412.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21451430009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10008929 + ... + 10011071.

Almost surely, 2^21451430000 is an apocalyptic number.

21451430000 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 21451430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34882434048).

21451430000 is an abundant number, since it is smaller than the sum of its proper divisors (48313438096).

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

21451430000 is a wasteful number, since it uses less digits than its factorization.

21451430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 21451430000 its reverse (3415412), we get a palindrome (21454845412).

The spelling of 21451430000 in words is "twenty-one billion, four hundred fifty-one million, four hundred thirty thousand".