1336505040 has 120 divisors (see below), whose sum is σ = 4833727080. Its totient is φ = 328983552.

The previous prime is 1336505033. The next prime is 1336505041. The reversal of 1336505040 is 405056331.

1336505040 is a `hidden beast` number, since 1 + 3 + 3 + 650 + 5 + 0 + 4 + 0 = 666.

1336505040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 101123136 + 1235381904 = 10056^2 + 35148^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1336504995 and 1336505013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336505041) 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, 62035 + ... + 80754.

It is an arithmetic number, because the mean of its divisors is an integer number (40281059).

Almost surely, 2^1336505040 is an apocalyptic number.

1336505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1336505040 is an abundant number, since it is smaller than the sum of its proper divisors (3497222040).

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

1336505040 is a wasteful number, since it uses less digits than its factorization.

1336505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142821 (or 142812 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1336505040 is about 36558.2417520318. The cubic root of 1336505040 is about 1101.5144539238.

The spelling of 1336505040 in words is "one billion, three hundred thirty-six million, five hundred five thousand, forty".