41825360544 has 192 divisors, whose sum is σ = 122100410880. Its totient is φ = 12429112320.

The previous prime is 41825360539. The next prime is 41825360557. The reversal of 41825360544 is 44506352814.

It is a junction number, because it is equal to n+sod(n) for n = 41825360496 and 41825360505.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49032822 + ... + 49033674.

It is an arithmetic number, because the mean of its divisors is an integer number (635939640).

Almost surely, 2^41825360544 is an apocalyptic number.

41825360544 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 41825360544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61050205440).

41825360544 is an abundant number, since it is smaller than the sum of its proper divisors (80275050336).

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

41825360544 is a wasteful number, since it uses less digits than its factorization.

41825360544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 41825360544 in words is "forty-one billion, eight hundred twenty-five million, three hundred sixty thousand, five hundred forty-four".