1395740160 has 400 divisors, whose sum is σ = 5133528576. Its totient is φ = 362299392.

The previous prime is 1395740147. The next prime is 1395740219. The reversal of 1395740160 is 610475931.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 10990017 + ... + 10990143.

Almost surely, 2^1395740160 is an apocalyptic number.

1395740160 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 1395740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566764288).

1395740160 is an abundant number, since it is smaller than the sum of its proper divisors (3737788416).

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

1395740160 is an equidigital number, since it uses as much as digits as its factorization.

1395740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1395740160 is about 37359.6059936397. The cubic root of 1395740160 is about 1117.5531617428.

The spelling of 1395740160 in words is "one billion, three hundred ninety-five million, seven hundred forty thousand, one hundred sixty".