41819440 has 80 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 15215616.

The previous prime is 41819431. The next prime is 41819471. The reversal of 41819440 is 4491814.

41819440 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 an unprimeable number.

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, 81906 + ... + 82414.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^41819440 is an apocalyptic number.

41819440 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 41819440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

41819440 is an abundant number, since it is smaller than the sum of its proper divisors (64423760).

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

41819440 is a wasteful number, since it uses less digits than its factorization.

41819440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

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

The square root of 41819440 is about 6466.7951877263. The cubic root of 41819440 is about 347.1038288291.

The spelling of 41819440 in words is "forty-one million, eight hundred nineteen thousand, four hundred forty".