41504000 has 72 divisors (see below), whose sum is σ = 103471368. Its totient is φ = 16588800.

The previous prime is 41503997. The next prime is 41504003. The reversal of 41504000 is 40514.

It is an interprime number because it is at equal distance from previous prime (41503997) and next prime (41504003).

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 40551424 = 976^2 + 6368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41504003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31352 + ... + 32648.

Almost surely, 2^41504000 is an apocalyptic number.

41504000 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 41504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51735684).

41504000 is an abundant number, since it is smaller than the sum of its proper divisors (61967368).

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

41504000 is an equidigital number, since it uses as much as digits as its factorization.

41504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 41504000 is about 6442.3598160922. The cubic root of 41504000 is about 346.2289017368.

Adding to 41504000 its reverse (40514), we get a palindrome (41544514).

The spelling of 41504000 in words is "forty-one million, five hundred four thousand".