21340431301024 has 192 divisors, whose sum is σ = 47006851627008. Its totient is φ = 9455260953600.

The previous prime is 21340431300961. The next prime is 21340431301043. The reversal of 21340431301024 is 42010313404312.

It is a happy number.

It is a super-2 number, since 2×21340431301024² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21340431300983 and 21340431301001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1655188722 + ... + 1655201614.

It is an arithmetic number, because the mean of its divisors is an integer number (244827352224).

Almost surely, 2^{21340431301024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21340431301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23503425813504).

21340431301024 is an abundant number, since it is smaller than the sum of its proper divisors (25666420325984).

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

21340431301024 is a wasteful number, since it uses less digits than its factorization.

21340431301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 21340431301024 its reverse (42010313404312), we get a palindrome (63350744705336).

The spelling of 21340431301024 in words is "twenty-one trillion, three hundred forty billion, four hundred thirty-one million, three hundred one thousand, twenty-four".