21234130400 has 216 divisors, whose sum is σ = 60465114360. Its totient is φ = 7260503040.

The previous prime is 21234130343. The next prime is 21234130459. The reversal of 21234130400 is 403143212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28733231 + ... + 28733969.

It is an arithmetic number, because the mean of its divisors is an integer number (279931085).

Almost surely, 2^21234130400 is an apocalyptic number.

21234130400 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 21234130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30232557180).

21234130400 is an abundant number, since it is smaller than the sum of its proper divisors (39230983960).

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

21234130400 is a wasteful number, since it uses less digits than its factorization.

21234130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1486 counting only the distinct ones).

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

Adding to 21234130400 its reverse (403143212), we get a palindrome (21637273612).

The spelling of 21234130400 in words is "twenty-one billion, two hundred thirty-four million, one hundred thirty thousand, four hundred".