4095134275680 has 480 divisors, whose sum is σ = 16797013390080. Its totient is φ = 920164561920.

The previous prime is 4095134275649. The next prime is 4095134275711. The reversal of 4095134275680 is 865724315904.

It is a happy number.

4095134275680 is a `hidden beast` number, since 4 + 0 + 9 + 51 + 3 + 4 + 27 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4095134275649) and next prime (4095134275711).

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 4969935 + ... + 5735025.

It is an arithmetic number, because the mean of its divisors is an integer number (34993777896).

It is a 1-persistent number, because it is pandigital, but 2⋅4095134275680 = 8190268551360 is not.

Almost surely, 2^{4095134275680} is an apocalyptic number.

4095134275680 is a gapful number since it is divisible by the number (40) 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 4095134275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398506695040).

4095134275680 is an abundant number, since it is smaller than the sum of its proper divisors (12701879114400).

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

4095134275680 is a wasteful number, since it uses less digits than its factorization.

4095134275680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765184 (or 765167 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4095134275680 in words is "four trillion, ninety-five billion, one hundred thirty-four million, two hundred seventy-five thousand, six hundred eighty".