41547646560 has 768 divisors, whose sum is σ = 164149493760. Its totient is φ = 8622858240.

The previous prime is 41547646549. The next prime is 41547646573. The reversal of 41547646560 is 6564674514.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 183029167 + ... + 183029393.

It is an arithmetic number, because the mean of its divisors is an integer number (213736320).

Almost surely, 2^41547646560 is an apocalyptic number.

41547646560 is a gapful number since it is divisible by the number (40) 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 41547646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82074746880).

41547646560 is an abundant number, since it is smaller than the sum of its proper divisors (122601847200).

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

41547646560 is a wasteful number, since it uses less digits than its factorization.

41547646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 41547646560 in words is "forty-one billion, five hundred forty-seven million, six hundred forty-six thousand, five hundred sixty".