41601408 has 64 divisors (see below), whose sum is σ = 111481920. Its totient is φ = 13744640.

The previous prime is 41601407. The next prime is 41601409. The reversal of 41601408 is 80410614.

It is an interprime number because it is at equal distance from previous prime (41601407) and next prime (41601409).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41601401) by changing a digit.

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, 49891 + ... + 50717.

It is an arithmetic number, because the mean of its divisors is an integer number (1741905).

Almost surely, 2^41601408 is an apocalyptic number.

41601408 is a gapful number since it is divisible by the number (48) 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 41601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55740960).

41601408 is an abundant number, since it is smaller than the sum of its proper divisors (69880512).

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

41601408 is a wasteful number, since it uses less digits than its factorization.

41601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 41601408 is about 6449.9153482817. The cubic root of 41601408 is about 346.4995512739.

The spelling of 41601408 in words is "forty-one million, six hundred one thousand, four hundred eight".