1395108126720 has 2240 divisors, whose sum is σ = 6430784126976. Its totient is φ = 280921374720.

The previous prime is 1395108126689. The next prime is 1395108126733. The reversal of 1395108126720 is 276218015931.

1395108126720 is a `hidden beast` number, since 1 + 3 + 9 + 510 + 8 + 126 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10985103297 + ... + 10985103423.

Almost surely, 2^{1395108126720} is an apocalyptic number.

1395108126720 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 1395108126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215392063488).

1395108126720 is an abundant number, since it is smaller than the sum of its proper divisors (5035676000256).

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

1395108126720 is a wasteful number, since it uses less digits than its factorization.

1395108126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1395108126720 in words is "one trillion, three hundred ninety-five billion, one hundred eight million, one hundred twenty-six thousand, seven hundred twenty".