1356816040 has 32 divisors (see below), whose sum is σ = 3158109000. Its totient is φ = 524011264.

The previous prime is 1356816037. The next prime is 1356816047. The reversal of 1356816040 is 406186531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1252735236 + 104080804 = 35394^2 + 10202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1356815987 and 1356816005.

It is not an unprimeable number, because it can be changed into a prime (1356816047) 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 7 ways as a sum of consecutive naturals, for example, 583675 + ... + 585994.

Almost surely, 2^1356816040 is an apocalyptic number.

1356816040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356816040 is an abundant number, since it is smaller than the sum of its proper divisors (1801292960).

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

1356816040 is a wasteful number, since it uses less digits than its factorization.

1356816040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169709 (or 1169705 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1356816040 is about 36834.9839147515. The cubic root of 1356816040 is about 1107.0663654363.

The spelling of 1356816040 in words is "one billion, three hundred fifty-six million, eight hundred sixteen thousand, forty".