41329440 has 144 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 11010816.

The previous prime is 41329433. The next prime is 41329451. The reversal of 41329440 is 4492314.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41329440² = 3416245221427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 38349 + ... + 39411.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^41329440 is an apocalyptic number.

41329440 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 41329440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

41329440 is an abundant number, since it is smaller than the sum of its proper divisors (105068448).

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

41329440 is a wasteful number, since it uses less digits than its factorization.

41329440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41329440 is about 6428.7977103032. The cubic root of 41329440 is about 345.7428229132.

The spelling of 41329440 in words is "forty-one million, three hundred twenty-nine thousand, four hundred forty".