1395056276928 has 336 divisors, whose sum is σ = 4202705295360. Its totient is φ = 441597370368.

The previous prime is 1395056276917. The next prime is 1395056276987. The reversal of 1395056276928 is 8296726505931.

1395056276928 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 0 + 562 + 7 + 69 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1877598925 + ... + 1877599667.

Almost surely, 2^{1395056276928} is an apocalyptic number.

1395056276928 is a gapful number since it is divisible by the number (18) 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 1395056276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101352647680).

1395056276928 is an abundant number, since it is smaller than the sum of its proper divisors (2807649018432).

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

1395056276928 is a wasteful number, since it uses less digits than its factorization.

1395056276928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 1395056276928 in words is "one trillion, three hundred ninety-five billion, fifty-six million, two hundred seventy-six thousand, nine hundred twenty-eight".