1353344040 has 48 divisors (see below), whose sum is σ = 4398369300. Its totient is φ = 360891648.

The previous prime is 1353344021. The next prime is 1353344053. The reversal of 1353344040 is 404433531.

It can be written as a sum of positive squares in 2 ways, for example, as 1349680644 + 3663396 = 36738^2 + 1914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1353343995 and 1353344013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1879285 + ... + 1880004.

Almost surely, 2^1353344040 is an apocalyptic number.

1353344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353344040 is an abundant number, since it is smaller than the sum of its proper divisors (3045025260).

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

1353344040 is a wasteful number, since it uses less digits than its factorization.

1353344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759306 (or 3759299 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1353344040 is about 36787.8246163048. The cubic root of 1353344040 is about 1106.1212562998.

Adding to 1353344040 its reverse (404433531), we get a palindrome (1757777571).

The spelling of 1353344040 in words is "one billion, three hundred fifty-three million, three hundred forty-four thousand, forty".