41307856128 has 1296 divisors, whose sum is σ = 165758261760. Its totient is φ = 9754214400.

The previous prime is 41307856123. The next prime is 41307856133. The reversal of 41307856128 is 82165870314.

41307856128 is a `hidden beast` number, since 4 + 13 + 0 + 78 + 561 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41307856123) and next prime (41307856133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41307856123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1116428526 + ... + 1116428562.

Almost surely, 2^41307856128 is an apocalyptic number.

41307856128 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 41307856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82879130880).

41307856128 is an abundant number, since it is smaller than the sum of its proper divisors (124450405632).

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

41307856128 is a wasteful number, since it uses less digits than its factorization.

41307856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 41307856128 in words is "forty-one billion, three hundred seven million, eight hundred fifty-six thousand, one hundred twenty-eight".