21430640000 has 640 divisors, whose sum is σ = 68827968000. Its totient is φ = 6585600000.

The previous prime is 21430639931. The next prime is 21430640009. The reversal of 21430640000 is 4603412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 (21430640009) 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, 301839965 + ... + 301840035.

It is an arithmetic number, because the mean of its divisors is an integer number (107543700).

Almost surely, 2^21430640000 is an apocalyptic number.

21430640000 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 21430640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34413984000).

21430640000 is an abundant number, since it is smaller than the sum of its proper divisors (47397328000).

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

21430640000 is an frugal number, since it uses more digits than its factorization.

21430640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 21430640000 in words is "twenty-one billion, four hundred thirty million, six hundred forty thousand".