1382365440 has 360 divisors, whose sum is σ = 5045409600. Its totient is φ = 361304064.

The previous prime is 1382365429. The next prime is 1382365441. The reversal of 1382365440 is 445632831.

1382365440 is a `hidden beast` number, since 1 + 3 + 82 + 36 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1382365395 and 1382365404.

It is not an unprimeable number, because it can be changed into a prime (1382365441) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6946461 + ... + 6946659.

Almost surely, 2^1382365440 is an apocalyptic number.

1382365440 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 1382365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522704800).

1382365440 is an abundant number, since it is smaller than the sum of its proper divisors (3663044160).

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

1382365440 is an equidigital number, since it uses as much as digits as its factorization.

1382365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1382365440 is about 37180.1753626849. The cubic root of 1382365440 is about 1113.9720368120.

The spelling of 1382365440 in words is "one billion, three hundred eighty-two million, three hundred sixty-five thousand, four hundred forty".