1295446095360 has 960 divisors, whose sum is σ = 4890287001600. Its totient is φ = 315856060416.

The previous prime is 1295446095331. The next prime is 1295446095373. The reversal of 1295446095360 is 635906445921.

1295446095360 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 44 + 60 + 9 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 1295446095297 and 1295446095306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1625402482 + ... + 1625403278.

It is an arithmetic number, because the mean of its divisors is an integer number (5094048960).

Almost surely, 2^{1295446095360} is an apocalyptic number.

1295446095360 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 1295446095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445143500800).

1295446095360 is an abundant number, since it is smaller than the sum of its proper divisors (3594840906240).

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

1295446095360 is a wasteful number, since it uses less digits than its factorization.

1295446095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1295446095360 in words is "one trillion, two hundred ninety-five billion, four hundred forty-six million, ninety-five thousand, three hundred sixty".