1314324144 has 200 divisors, whose sum is σ = 4537209600. Its totient is φ = 359137152.

The previous prime is 1314324139. The next prime is 1314324169. The reversal of 1314324144 is 4414234131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205507 + ... + 211805.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 2^1314324144 is an apocalyptic number.

1314324144 is a gapful number since it is divisible by the number (14) 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 1314324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268604800).

1314324144 is an abundant number, since it is smaller than the sum of its proper divisors (3222885456).

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

1314324144 is a wasteful number, since it uses less digits than its factorization.

1314324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6334 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1314324144 is about 36253.6087031346. The cubic root of 1314324144 is about 1095.3867802338.

Adding to 1314324144 its reverse (4414234131), we get a palindrome (5728558275).

The spelling of 1314324144 in words is "one billion, three hundred fourteen million, three hundred twenty-four thousand, one hundred forty-four".