1295794134000 has 240 divisors, whose sum is σ = 4527914302080. Its totient is φ = 345381926400.

The previous prime is 1295794133999. The next prime is 1295794134017. The reversal of 1295794134000 is 4314975921.

1295794134000 is a `hidden beast` number, since 1 + 2 + 9 + 579 + 41 + 34 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40826137 + ... + 40857863.

It is an arithmetic number, because the mean of its divisors is an integer number (18866309592).

Almost surely, 2^{1295794134000} is an apocalyptic number.

1295794134000 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 1295794134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263957151040).

1295794134000 is an abundant number, since it is smaller than the sum of its proper divisors (3232120168080).

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

1295794134000 is a wasteful number, since it uses less digits than its factorization.

1295794134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34025 (or 34006 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1295794134000 in words is "one trillion, two hundred ninety-five billion, seven hundred ninety-four million, one hundred thirty-four thousand".