41388160 has 64 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 15047680.

The previous prime is 41388121. The next prime is 41388167. The reversal of 41388160 is 6188314.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (41388167) 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, 4101 + ... + 9979.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 2^41388160 is an apocalyptic number.

41388160 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 41388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

41388160 is an abundant number, since it is smaller than the sum of its proper divisors (66568640).

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

41388160 is a wasteful number, since it uses less digits than its factorization.

41388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 41388160 is about 6433.3630396551. The cubic root of 41388160 is about 345.9064868071.

The spelling of 41388160 in words is "forty-one million, three hundred eighty-eight thousand, one hundred sixty".