1413312000 has 320 divisors, whose sum is σ = 4986805824. Its totient is φ = 353894400.

The previous prime is 1413311987. The next prime is 1413312029. The reversal of 1413312000 is 2133141.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3263784 + ... + 3264216.

Almost surely, 2^1413312000 is an apocalyptic number.

1413312000 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 1413312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493402912).

1413312000 is an abundant number, since it is smaller than the sum of its proper divisors (3573493824).

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

1413312000 is an equidigital number, since it uses as much as digits as its factorization.

1413312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1413312000 is about 37594.0420811596. The cubic root of 1413312000 is about 1122.2234740952.

Adding to 1413312000 its reverse (2133141), we get a palindrome (1415445141).

The spelling of 1413312000 in words is "one billion, four hundred thirteen million, three hundred twelve thousand".