1413369360 has 240 divisors, whose sum is σ = 5277662208. Its totient is φ = 336614400.

The previous prime is 1413369337. The next prime is 1413369371. The reversal of 1413369360 is 639633141.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1413369360² = 3995225895573619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287725 + ... + 292595.

Almost surely, 2^1413369360 is an apocalyptic number.

1413369360 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 1413369360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638831104).

1413369360 is an abundant number, since it is smaller than the sum of its proper divisors (3864292848).

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

1413369360 is a wasteful number, since it uses less digits than its factorization.

1413369360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1413369360 is about 37594.8049602601. The cubic root of 1413369360 is about 1122.2386558969.

The spelling of 1413369360 in words is "one billion, four hundred thirteen million, three hundred sixty-nine thousand, three hundred sixty".