41148931824 has 960 divisors, whose sum is σ = 163486202880. Its totient is φ = 9674588160.

The previous prime is 41148931823. The next prime is 41148931847. The reversal of 41148931824 is 42813984114.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41148931824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41148931823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 377513082 + ... + 377513190.

It is an arithmetic number, because the mean of its divisors is an integer number (170298128).

Almost surely, 2^41148931824 is an apocalyptic number.

41148931824 is a gapful number since it is divisible by the number (44) 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 41148931824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81743101440).

41148931824 is an abundant number, since it is smaller than the sum of its proper divisors (122337271056).

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

41148931824 is a wasteful number, since it uses less digits than its factorization.

41148931824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 41148931824 in words is "forty-one billion, one hundred forty-eight million, nine hundred thirty-one thousand, eight hundred twenty-four".