1395141360 has 240 divisors, whose sum is σ = 4680986112. Its totient is φ = 343073280.

The previous prime is 1395141359. The next prime is 1395141379. The reversal of 1395141360 is 631415931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5304589 + ... + 5304851.

Almost surely, 2^1395141360 is an apocalyptic number.

1395141360 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 1395141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340493056).

1395141360 is an abundant number, since it is smaller than the sum of its proper divisors (3285844752).

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

1395141360 is a wasteful number, since it uses less digits than its factorization.

1395141360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1395141360 is about 37351.5911307671. The cubic root of 1395141360 is about 1117.3933214483.

The spelling of 1395141360 in words is "one billion, three hundred ninety-five million, one hundred forty-one thousand, three hundred sixty".