21424323120400 has 240 divisors, whose sum is σ = 54809788520448. Its totient is φ = 8019809280000.

The previous prime is 21424323120367. The next prime is 21424323120437. The reversal of 21424323120400 is 402132342412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651448314 + ... + 1651461286.

Almost surely, 2^{21424323120400} is an apocalyptic number.

21424323120400 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 21424323120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27404894260224).

21424323120400 is an abundant number, since it is smaller than the sum of its proper divisors (33385465400048).

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

21424323120400 is a wasteful number, since it uses less digits than its factorization.

21424323120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14370 (or 14359 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21424323120400 its reverse (402132342412), we get a palindrome (21826455462812).

The spelling of 21424323120400 in words is "twenty-one trillion, four hundred twenty-four billion, three hundred twenty-three million, one hundred twenty thousand, four hundred".