41738480 has 80 divisors (see below), whose sum is σ = 112534464. Its totient is φ = 14100480.

The previous prime is 41738467. The next prime is 41738483. The reversal of 41738480 is 8483714.

It is a happy number.

41738480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 41738480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41738483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40370 + ... + 41390.

Almost surely, 2^41738480 is an apocalyptic number.

41738480 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 41738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56267232).

41738480 is an abundant number, since it is smaller than the sum of its proper divisors (70795984).

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

41738480 is a wasteful number, since it uses less digits than its factorization.

41738480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 41738480 is about 6460.5324857940. The cubic root of 41738480 is about 346.8796931973.

The spelling of 41738480 in words is "forty-one million, seven hundred thirty-eight thousand, four hundred eighty".