13442713830 has 768 divisors, whose sum is σ = 48185819136. Its totient is φ = 2620200960.

The previous prime is 13442713763. The next prime is 13442713871. The reversal of 13442713830 is 3831724431.

13442713830 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 271 + 383 + 0 = 666.

13442713830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 253636084 + ... + 253636136.

It is an arithmetic number, because the mean of its divisors is an integer number (62741952).

Almost surely, 2^13442713830 is an apocalyptic number.

13442713830 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 13442713830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24092909568).

13442713830 is an abundant number, since it is smaller than the sum of its proper divisors (34743105306).

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

13442713830 is a wasteful number, since it uses less digits than its factorization.

13442713830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13442713830 in words is "thirteen billion, four hundred forty-two million, seven hundred thirteen thousand, eight hundred thirty".