21242004342400 has 192 divisors, whose sum is σ = 56743275876480. Its totient is φ = 7826840207360.

The previous prime is 21242004342371. The next prime is 21242004342401. The reversal of 21242004342400 is 424340024212.

It is not an unprimeable number, because it can be changed into a prime (21242004342401) 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 23 ways as a sum of consecutive naturals, for example, 1597222 + ... + 6710821.

It is an arithmetic number, because the mean of its divisors is an integer number (295537895190).

Almost surely, 2^{21242004342400} is an apocalyptic number.

21242004342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21242004342400 is an abundant number, since it is smaller than the sum of its proper divisors (35501271534080).

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

21242004342400 is a wasteful number, since it uses less digits than its factorization.

21242004342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308131 (or 8308114 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 21242004342400 its reverse (424340024212), we get a palindrome (21666344366612).

The spelling of 21242004342400 in words is "twenty-one trillion, two hundred forty-two billion, four million, three hundred forty-two thousand, four hundred".