1336261440 has 112 divisors (see below), whose sum is σ = 4322844288. Its totient is φ = 349599744.

The previous prime is 1336261357. The next prime is 1336261447. The reversal of 1336261440 is 441626331.

1336261440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1336261398 and 1336261407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336261447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37749 + ... + 64011.

It is an arithmetic number, because the mean of its divisors is an integer number (38596824).

Almost surely, 2^1336261440 is an apocalyptic number.

1336261440 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 1336261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161422144).

1336261440 is an abundant number, since it is smaller than the sum of its proper divisors (2986582848).

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

1336261440 is a wasteful number, since it uses less digits than its factorization.

1336261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26336 (or 26326 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1336261440 is about 36554.9099301311. The cubic root of 1336261440 is about 1101.4475268223.

Adding to 1336261440 its reverse (441626331), we get a palindrome (1777887771).

The spelling of 1336261440 in words is "one billion, three hundred thirty-six million, two hundred sixty-one thousand, four hundred forty".