1413105330 has 192 divisors, whose sum is σ = 4344917760. Its totient is φ = 287659008.

The previous prime is 1413105329. The next prime is 1413105427. The reversal of 1413105330 is 335013141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1413105297 and 1413105306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1028524 + ... + 1029896.

It is an arithmetic number, because the mean of its divisors is an integer number (22629780).

Almost surely, 2^1413105330 is an apocalyptic number.

1413105330 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 1413105330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172458880).

1413105330 is an abundant number, since it is smaller than the sum of its proper divisors (2931812430).

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

1413105330 is a wasteful number, since it uses less digits than its factorization.

1413105330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1413105330 is about 37591.2932738420. The cubic root of 1413105330 is about 1122.1687701488.

Adding to 1413105330 its reverse (335013141), we get a palindrome (1748118471).

The spelling of 1413105330 in words is "one billion, four hundred thirteen million, one hundred five thousand, three hundred thirty".