1413344000 has 144 divisors (see below), whose sum is σ = 3644615520. Its totient is φ = 545484800.

The previous prime is 1413343973. The next prime is 1413344017. The reversal of 1413344000 is 4433141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927239 + ... + 928761.

It is an arithmetic number, because the mean of its divisors is an integer number (25309830).

Almost surely, 2^1413344000 is an apocalyptic number.

1413344000 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 1413344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822307760).

1413344000 is an abundant number, since it is smaller than the sum of its proper divisors (2231271520).

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

1413344000 is an equidigital number, since it uses as much as digits as its factorization.

1413344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1413344000 is about 37594.4676781039. The cubic root of 1413344000 is about 1122.2319437702.

Adding to 1413344000 its reverse (4433141), we get a palindrome (1417777141).

The spelling of 1413344000 in words is "one billion, four hundred thirteen million, three hundred forty-four thousand".