4115315395296 has 144 divisors (see below), whose sum is σ = 13835974370400. Its totient is φ = 1135259403264.

The previous prime is 4115315395259. The next prime is 4115315395297. The reversal of 4115315395296 is 6925935135114.

4115315395296 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 315 + 39 + 5 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115315395297) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35136831 + ... + 35253758.

It is an arithmetic number, because the mean of its divisors is an integer number (96083155350).

Almost surely, 2^{4115315395296} is an apocalyptic number.

It is an amenable number.

4115315395296 is an abundant number, since it is smaller than the sum of its proper divisors (9720658975104).

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

4115315395296 is a wasteful number, since it uses less digits than its factorization.

4115315395296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70390641 (or 70390630 counting only the distinct ones).

The product of its digits is 4374000, while the sum is 54.

The spelling of 4115315395296 in words is "four trillion, one hundred fifteen billion, three hundred fifteen million, three hundred ninety-five thousand, two hundred ninety-six".