1395727407360 has 1440 divisors, whose sum is σ = 6123868869888. Its totient is φ = 298678026240.

The previous prime is 1395727407251. The next prime is 1395727407407. The reversal of 1395727407360 is 637047275931.

1395727407360 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 7 + 274 + 0 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1395727407297 and 1395727407306.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 341001474 + ... + 341005566.

Almost surely, 2^{1395727407360} is an apocalyptic number.

1395727407360 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 1395727407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061934434944).

1395727407360 is an abundant number, since it is smaller than the sum of its proper divisors (4728141462528).

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

1395727407360 is a wasteful number, since it uses less digits than its factorization.

1395727407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 1395727407360 in words is "one trillion, three hundred ninety-five billion, seven hundred twenty-seven million, four hundred seven thousand, three hundred sixty".