1341114320 has 120 divisors (see below), whose sum is σ = 3906328104. Its totient is φ = 424424448.

The previous prime is 1341114311. The next prime is 1341114329. The reversal of 1341114320 is 234111431.

It is an interprime number because it is at equal distance from previous prime (1341114311) and next prime (1341114329).

It can be written as a sum of positive squares in 4 ways, for example, as 52591504 + 1288522816 = 7252^2 + 35896^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1341114292 and 1341114301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341114329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37802 + ... + 64118.

Almost surely, 2^1341114320 is an apocalyptic number.

1341114320 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 1341114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953164052).

1341114320 is an abundant number, since it is smaller than the sum of its proper divisors (2565213784).

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

1341114320 is a wasteful number, since it uses less digits than its factorization.

1341114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26357 (or 26344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1341114320 is about 36621.2277238216. The cubic root of 1341114320 is about 1102.7792859261.

Adding to 1341114320 its reverse (234111431), we get a palindrome (1575225751).

The spelling of 1341114320 in words is "one billion, three hundred forty-one million, one hundred fourteen thousand, three hundred twenty".