1413310320 has 120 divisors (see below), whose sum is σ = 4753865376. Its totient is φ = 376287744.

The previous prime is 1413310211. The next prime is 1413310361. The reversal of 1413310320 is 230133141.

1413310320 is a `hidden beast` number, since 14 + 1 + 331 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1413310320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1413310293 and 1413310302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637534 + ... + 639746.

Almost surely, 2^1413310320 is an apocalyptic number.

1413310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376932688).

1413310320 is an abundant number, since it is smaller than the sum of its proper divisors (3340555056).

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

1413310320 is a wasteful number, since it uses less digits than its factorization.

1413310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1413310320 is about 37594.0197371869. The cubic root of 1413310320 is about 1122.2230294337.

Adding to 1413310320 its reverse (230133141), we get a palindrome (1643443461).

The spelling of 1413310320 in words is "one billion, four hundred thirteen million, three hundred ten thousand, three hundred twenty".