4158223136928 has 648 divisors, whose sum is σ = 14634219704832. Its totient is φ = 1116497862144.

The previous prime is 4158223136897. The next prime is 4158223136939. The reversal of 4158223136928 is 8296313228514.

4158223136928 is a `hidden beast` number, since 4 + 1 + 58 + 223 + 1 + 369 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 646989651 + ... + 646996077.

It is an arithmetic number, because the mean of its divisors is an integer number (22583672384).

Almost surely, 2^{4158223136928} is an apocalyptic number.

4158223136928 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 4158223136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317109852416).

4158223136928 is an abundant number, since it is smaller than the sum of its proper divisors (10475996567904).

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

4158223136928 is a wasteful number, since it uses less digits than its factorization.

4158223136928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6585 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 4158223136928 in words is "four trillion, one hundred fifty-eight billion, two hundred twenty-three million, one hundred thirty-six thousand, nine hundred twenty-eight".