41188480 has 64 divisors (see below), whose sum is σ = 99388800. Its totient is φ = 16321536.

The previous prime is 41188471. The next prime is 41188519. The reversal of 41188480 is 8488114.

It is a happy number.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 88729 + ... + 89191.

It is an arithmetic number, because the mean of its divisors is an integer number (1552950).

Almost surely, 2^41188480 is an apocalyptic number.

41188480 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 41188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49694400).

41188480 is an abundant number, since it is smaller than the sum of its proper divisors (58200320).

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

41188480 is a wasteful number, since it uses less digits than its factorization.

41188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 41188480 is about 6417.8251768025. The cubic root of 41188480 is about 345.3493066491.

The spelling of 41188480 in words is "forty-one million, one hundred eighty-eight thousand, four hundred eighty".