21414022112430 has 128 divisors (see below), whose sum is σ = 58834792425600. Its totient is φ = 5538318769152.

The previous prime is 21414022112419. The next prime is 21414022112459. The reversal of 21414022112430 is 3421122041412.

21414022112430 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 4 + 0 + 221 + 1 + 2 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21414022112394 and 21414022112403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297325 + ... + 6551064.

It is an arithmetic number, because the mean of its divisors is an integer number (459646815825).

Almost surely, 2^{21414022112430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21414022112430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417396212800).

21414022112430 is an abundant number, since it is smaller than the sum of its proper divisors (37420770313170).

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

21414022112430 is a wasteful number, since it uses less digits than its factorization.

21414022112430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848755 (or 6848749 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21414022112430 its reverse (3421122041412), we get a palindrome (24835144153842).

The spelling of 21414022112430 in words is "twenty-one trillion, four hundred fourteen billion, twenty-two million, one hundred twelve thousand, four hundred thirty".