41825760 has 96 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 11002368.

The previous prime is 41825759. The next prime is 41825761. The reversal of 41825760 is 6752814.

It is an interprime number because it is at equal distance from previous prime (41825759) and next prime (41825761).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41825761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37369 + ... + 38471.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^41825760 is an apocalyptic number.

41825760 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 41825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

41825760 is an abundant number, since it is smaller than the sum of its proper divisors (91714080).

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

41825760 is a wasteful number, since it uses less digits than its factorization.

41825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 41825760 is about 6467.2838193480. The cubic root of 41825760 is about 347.1213134065.

The spelling of 41825760 in words is "forty-one million, eight hundred twenty-five thousand, seven hundred sixty".