13842424830 has 256 divisors, whose sum is σ = 38058854400. Its totient is φ = 3199150080.

The previous prime is 13842424801. The next prime is 13842424859. The reversal of 13842424830 is 3842424831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13842424801) and next prime (13842424859).

It is a super-2 number, since 2×13842424830² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 60447156 + ... + 60447384.

It is an arithmetic number, because the mean of its divisors is an integer number (148667400).

Almost surely, 2^13842424830 is an apocalyptic number.

13842424830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13842424830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19029427200).

13842424830 is an abundant number, since it is smaller than the sum of its proper divisors (24216429570).

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

13842424830 is a wasteful number, since it uses less digits than its factorization.

13842424830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419.

The product of its (nonzero) digits is 147456, while the sum is 39.

Subtracting from 13842424830 its reverse (3842424831), we obtain a palindrome (9999999999).

The spelling of 13842424830 in words is "thirteen billion, eight hundred forty-two million, four hundred twenty-four thousand, eight hundred thirty".