1352313440 has 48 divisors (see below), whose sum is σ = 3207369312. Its totient is φ = 538804224.

The previous prime is 1352313427. The next prime is 1352313449. The reversal of 1352313440 is 443132531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352313449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24677 + ... + 57563.

It is an arithmetic number, because the mean of its divisors is an integer number (66820194).

Almost surely, 2^1352313440 is an apocalyptic number.

1352313440 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 1352313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603684656).

1352313440 is an abundant number, since it is smaller than the sum of its proper divisors (1855055872).

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

1352313440 is a wasteful number, since it uses less digits than its factorization.

1352313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33159 (or 33151 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1352313440 is about 36773.8145968024. The cubic root of 1352313440 is about 1105.8404067829.

Adding to 1352313440 its reverse (443132531), we get a palindrome (1795445971).

The spelling of 1352313440 in words is "one billion, three hundred fifty-two million, three hundred thirteen thousand, four hundred forty".