41030506749888 has 336 divisors, whose sum is σ = 123219824232960. Its totient is φ = 13535932032000.

The previous prime is 41030506749887. The next prime is 41030506749907. The reversal of 41030506749888 is 88894760503014.

41030506749888 is a `hidden beast` number, since 4 + 1 + 0 + 3 + 0 + 5 + 0 + 67 + 498 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41030506749887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6143207733 + ... + 6143214411.

It is an arithmetic number, because the mean of its divisors is an integer number (366725667360).

Almost surely, 2^{41030506749888} is an apocalyptic number.

41030506749888 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 41030506749888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61609912116480).

41030506749888 is an abundant number, since it is smaller than the sum of its proper divisors (82189317483072).

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

41030506749888 is a wasteful number, since it uses less digits than its factorization.

41030506749888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10718 (or 10696 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 41030506749888 in words is "forty-one trillion, thirty billion, five hundred six million, seven hundred forty-nine thousand, eight hundred eighty-eight".