4113270492768 has 576 divisors, whose sum is σ = 13151032473600. Its totient is φ = 1249252346880.

The previous prime is 4113270492733. The next prime is 4113270492781. The reversal of 4113270492768 is 8672940723114.

4113270492768 is a `hidden beast` number, since 4 + 1 + 1 + 327 + 0 + 49 + 276 + 8 = 666.

4113270492768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 1672739923 + ... + 1672742381.

It is an arithmetic number, because the mean of its divisors is an integer number (22831653600).

Almost surely, 2^{4113270492768} is an apocalyptic number.

4113270492768 is a gapful number since it is divisible by the number (48) 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 4113270492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575516236800).

4113270492768 is an abundant number, since it is smaller than the sum of its proper divisors (9037761980832).

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

4113270492768 is a wasteful number, since it uses less digits than its factorization.

4113270492768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4113270492768 in words is "four trillion, one hundred thirteen billion, two hundred seventy million, four hundred ninety-two thousand, seven hundred sixty-eight".