1314141432 has 128 divisors (see below), whose sum is σ = 3598387200. Its totient is φ = 399003264.

The previous prime is 1314141427. The next prime is 1314141443. The reversal of 1314141432 is 2341414131.

It is a super-3 number, since 3×1314141432³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27960433 + ... + 27960479.

It is an arithmetic number, because the mean of its divisors is an integer number (28112400).

Almost surely, 2^1314141432 is an apocalyptic number.

1314141432 is a gapful number since it is divisible by the number (12) 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 1314141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799193600).

1314141432 is an abundant number, since it is smaller than the sum of its proper divisors (2284245768).

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

1314141432 is an equidigital number, since it uses as much as digits as its factorization.

1314141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 112 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1314141432 is about 36251.0887008928. The cubic root of 1314141432 is about 1095.3360191423.

Adding to 1314141432 its reverse (2341414131), we get a palindrome (3655555563).

The spelling of 1314141432 in words is "one billion, three hundred fourteen million, one hundred forty-one thousand, four hundred thirty-two".