4141812273768 has 1024 divisors, whose sum is σ = 14363080704000. Its totient is φ = 1091544367104.

The previous prime is 4141812273721. The next prime is 4141812273779. The reversal of 4141812273768 is 8673722181414.

4141812273768 is a `hidden beast` number, since 4 + 1 + 41 + 8 + 1 + 227 + 376 + 8 = 666.

It is a super-2 number, since 2×4141812273768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 2785347121 + ... + 2785348607.

It is an arithmetic number, because the mean of its divisors is an integer number (14026446000).

Almost surely, 2^{4141812273768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141812273768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181540352000).

4141812273768 is an abundant number, since it is smaller than the sum of its proper divisors (10221268430232).

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

4141812273768 is a wasteful number, since it uses less digits than its factorization.

4141812273768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1661 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 4141812273768 in words is "four trillion, one hundred forty-one billion, eight hundred twelve million, two hundred seventy-three thousand, seven hundred sixty-eight".