21430043600 has 360 divisors, whose sum is σ = 63555896448. Its totient is φ = 6799564800.

The previous prime is 21430043597. The next prime is 21430043603. The reversal of 21430043600 is 634003412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21430043597) and next prime (21430043603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21430043603) 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 71 ways as a sum of consecutive naturals, for example, 57453014 + ... + 57453386.

Almost surely, 2^21430043600 is an apocalyptic number.

21430043600 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 21430043600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31777948224).

21430043600 is an abundant number, since it is smaller than the sum of its proper divisors (42125852848).

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

21430043600 is a wasteful number, since it uses less digits than its factorization.

21430043600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The spelling of 21430043600 in words is "twenty-one billion, four hundred thirty million, forty-three thousand, six hundred".