1395345725640 has 384 divisors, whose sum is σ = 4901776588800. Its totient is φ = 356585276160.

The previous prime is 1395345725639. The next prime is 1395345725647. The reversal of 1395345725640 is 465275435931.

1395345725640 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 3 + 4 + 5 + 72 + 564 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1395345725647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31013481 + ... + 31058439.

It is an arithmetic number, because the mean of its divisors is an integer number (12765043200).

Almost surely, 2^{1395345725640} is an apocalyptic number.

1395345725640 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 1395345725640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450888294400).

1395345725640 is an abundant number, since it is smaller than the sum of its proper divisors (3506430863160).

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

1395345725640 is a wasteful number, since it uses less digits than its factorization.

1395345725640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45119 (or 45103 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 1395345725640 in words is "one trillion, three hundred ninety-five billion, three hundred forty-five million, seven hundred twenty-five thousand, six hundred forty".