1340331120 has 120 divisors (see below), whose sum is σ = 4520692800. Its totient is φ = 355880448.

The previous prime is 1340331107. The next prime is 1340331121. The reversal of 1340331120 is 211330431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1340331120² = 3592975022480908800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1340331093 and 1340331102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168186 + ... + 175974.

It is an arithmetic number, because the mean of its divisors is an integer number (37672440).

Almost surely, 2^1340331120 is an apocalyptic number.

1340331120 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 1340331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260346400).

1340331120 is an abundant number, since it is smaller than the sum of its proper divisors (3180361680).

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

1340331120 is a wasteful number, since it uses less digits than its factorization.

1340331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1340331120 is about 36610.5329106256. The cubic root of 1340331120 is about 1102.5645727061.

Adding to 1340331120 its reverse (211330431), we get a palindrome (1551661551).

The spelling of 1340331120 in words is "one billion, three hundred forty million, three hundred thirty-one thousand, one hundred twenty".