1395944064 has 128 divisors (see below), whose sum is σ = 4178736000. Its totient is φ = 458680320.

The previous prime is 1395944063. The next prime is 1395944089. The reversal of 1395944064 is 4604495931.

1395944064 is a `hidden beast` number, since 13 + 9 + 594 + 40 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395944063) 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, 242532 + ... + 248220.

It is an arithmetic number, because the mean of its divisors is an integer number (32646375).

Almost surely, 2^1395944064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089368000).

1395944064 is an abundant number, since it is smaller than the sum of its proper divisors (2782791936).

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

1395944064 is an equidigital number, since it uses as much as digits as its factorization.

1395944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1395944064 is about 37362.3348306821. The cubic root of 1395944064 is about 1117.6075802921.

The spelling of 1395944064 in words is "one billion, three hundred ninety-five million, nine hundred forty-four thousand, sixty-four".