21342410400 has 72 divisors (see below), whose sum is σ = 69469553664. Its totient is φ = 5691308800.

The previous prime is 21342410393. The next prime is 21342410407. The reversal of 21342410400 is 401424312.

It is an interprime number because it is at equal distance from previous prime (21342410393) and next prime (21342410407).

It is not an unprimeable number, because it can be changed into a prime (21342410407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4443936 + ... + 4448735.

It is an arithmetic number, because the mean of its divisors is an integer number (964854912).

Almost surely, 2^21342410400 is an apocalyptic number.

21342410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21342410400 is an abundant number, since it is smaller than the sum of its proper divisors (48127143264).

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

21342410400 is a wasteful number, since it uses less digits than its factorization.

21342410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892694 (or 8892681 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21342410400 its reverse (401424312), we get a palindrome (21743834712).

The spelling of 21342410400 in words is "twenty-one billion, three hundred forty-two million, four hundred ten thousand, four hundred".