21241230400 has 168 divisors, whose sum is σ = 56668359104. Its totient is φ = 7789824000.

The previous prime is 21241230371. The next prime is 21241230401. The reversal of 21241230400 is 403214212.

It is not an unprimeable number, because it can be changed into a prime (21241230401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3137419 + ... + 3144181.

Almost surely, 2^21241230400 is an apocalyptic number.

21241230400 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 21241230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28334179552).

21241230400 is an abundant number, since it is smaller than the sum of its proper divisors (35427128704).

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

21241230400 is a wasteful number, since it uses less digits than its factorization.

21241230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21241230400 its reverse (403214212), we get a palindrome (21644444612).

The spelling of 21241230400 in words is "twenty-one billion, two hundred forty-one million, two hundred thirty thousand, four hundred".