41536747728 has 640 divisors, whose sum is σ = 146870599680. Its totient is φ = 10990080000.

The previous prime is 41536747727. The next prime is 41536747781. The reversal of 41536747728 is 82774763514.

41536747728 is a `hidden beast` number, since 41 + 53 + 67 + 477 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41536747727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 388193851 + ... + 388193957.

It is an arithmetic number, because the mean of its divisors is an integer number (229485312).

Almost surely, 2^41536747728 is an apocalyptic number.

41536747728 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 41536747728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73435299840).

41536747728 is an abundant number, since it is smaller than the sum of its proper divisors (105333851952).

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

41536747728 is a wasteful number, since it uses less digits than its factorization.

41536747728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 41536747728 in words is "forty-one billion, five hundred thirty-six million, seven hundred forty-seven thousand, seven hundred twenty-eight".