41314880 has 112 divisors (see below), whose sum is σ = 104461056. Its totient is φ = 15544320.

The previous prime is 41314853. The next prime is 41314883. The reversal of 41314880 is 8841314.

It is not an unprimeable number, because it can be changed into a prime (41314883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616607 + ... + 616673.

It is an arithmetic number, because the mean of its divisors is an integer number (932688).

Almost surely, 2^41314880 is an apocalyptic number.

41314880 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 41314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52230528).

41314880 is an abundant number, since it is smaller than the sum of its proper divisors (63146176).

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

41314880 is a wasteful number, since it uses less digits than its factorization.

41314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 41314880 is about 6427.6652059671. The cubic root of 41314880 is about 345.7022174210.

The spelling of 41314880 in words is "forty-one million, three hundred fourteen thousand, eight hundred eighty".