1413180720 has 480 divisors, whose sum is σ = 5771630592. Its totient is φ = 302911488.

The previous prime is 1413180617. The next prime is 1413180809. The reversal of 1413180720 is 270813141.

1413180720 is a `hidden beast` number, since 1 + 413 + 180 + 72 + 0 = 666.

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, 8462077 + ... + 8462243.

Almost surely, 2^1413180720 is an apocalyptic number.

1413180720 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 1413180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885815296).

1413180720 is an abundant number, since it is smaller than the sum of its proper divisors (4358449872).

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

1413180720 is a wasteful number, since it uses less digits than its factorization.

1413180720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1413180720 is about 37592.2960192644. The cubic root of 1413180720 is about 1122.1887259151.

Adding to 1413180720 its reverse (270813141), we get a palindrome (1683993861).

The spelling of 1413180720 in words is "one billion, four hundred thirteen million, one hundred eighty thousand, seven hundred twenty".