1395161808390 has 384 divisors, whose sum is σ = 4626986112000. Its totient is φ = 292810567680.

The previous prime is 1395161808367. The next prime is 1395161808401. The reversal of 1395161808390 is 938081615931.

1395161808390 is a `hidden beast` number, since 1 + 3 + 95 + 161 + 8 + 0 + 8 + 390 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22363461 + ... + 22425759.

It is an arithmetic number, because the mean of its divisors is an integer number (12049443000).

Almost surely, 2^{1395161808390} is an apocalyptic number.

1395161808390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395161808390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313493056000).

1395161808390 is an abundant number, since it is smaller than the sum of its proper divisors (3231824303610).

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

1395161808390 is a wasteful number, since it uses less digits than its factorization.

1395161808390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62397 (or 62374 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1395161808390 in words is "one trillion, three hundred ninety-five billion, one hundred sixty-one million, eight hundred eight thousand, three hundred ninety".