1314432000 has 528 divisors, whose sum is σ = 5446526592. Its totient is φ = 298598400.

The previous prime is 1314431999. The next prime is 1314432001. The reversal of 1314432000 is 2344131.

It is an interprime number because it is at equal distance from previous prime (1314431999) and next prime (1314432001).

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

It is not an unprimeable number, because it can be changed into a prime (1314432001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8063919 + ... + 8064081.

Almost surely, 2^1314432000 is an apocalyptic number.

1314432000 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 1314432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723263296).

1314432000 is an abundant number, since it is smaller than the sum of its proper divisors (4132094592).

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

1314432000 is a wasteful number, since it uses less digits than its factorization.

1314432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1314432000 is about 36255.0961935009. The cubic root of 1314432000 is about 1095.4167426054.

Adding to 1314432000 its reverse (2344131), we get a palindrome (1316776131).

The spelling of 1314432000 in words is "one billion, three hundred fourteen million, four hundred thirty-two thousand".