1413344130 has 192 divisors, whose sum is σ = 4060990080. Its totient is φ = 313251840.

The previous prime is 1413344129. The next prime is 1413344131. The reversal of 1413344130 is 314433141.

1413344130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1413344129) and next prime (1413344131).

It is a self number, because there is not a number n which added to its sum of digits gives 1413344130.

It is not an unprimeable number, because it can be changed into a prime (1413344131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2282961 + ... + 2283579.

It is an arithmetic number, because the mean of its divisors is an integer number (21150990).

Almost surely, 2^1413344130 is an apocalyptic number.

1413344130 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 1413344130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030495040).

1413344130 is an abundant number, since it is smaller than the sum of its proper divisors (2647645950).

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

1413344130 is a wasteful number, since it uses less digits than its factorization.

1413344130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1413344130 is about 37594.4694070817. The cubic root of 1413344130 is about 1122.2319781780.

Adding to 1413344130 its reverse (314433141), we get a palindrome (1727777271).

It can be divided in two parts, 1413 and 344130, that added together give a palindrome (345543).

The spelling of 1413344130 in words is "one billion, four hundred thirteen million, three hundred forty-four thousand, one hundred thirty".