41948160 has 88 divisors (see below), whose sum is σ = 134217696. Its totient is φ = 11182080.

The previous prime is 41948147. The next prime is 41948161. The reversal of 41948160 is 6184914.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41948161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13995 + ... + 16725.

Almost surely, 2^41948160 is an apocalyptic number.

41948160 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 41948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108848).

41948160 is an abundant number, since it is smaller than the sum of its proper divisors (92269536).

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

41948160 is a wasteful number, since it uses less digits than its factorization.

41948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 41948160 is about 6476.7399206700. The cubic root of 41948160 is about 347.4595919407.

The spelling of 41948160 in words is "forty-one million, nine hundred forty-eight thousand, one hundred sixty".