41457601 has 12 divisors (see below), whose sum is σ = 44837604. Its totient is φ = 38304000.

The previous prime is 41457599. The next prime is 41457623. The reversal of 41457601 is 10675414.

41457601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9828225 + 31629376 = 3135^2 + 5624^2 .

It is not a de Polignac number, because 41457601 - 2¹ = 41457599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41457601.

It is not an unprimeable number, because it can be changed into a prime (41457641) 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 11 ways as a sum of consecutive naturals, for example, 13401 + ... + 16201.

It is an arithmetic number, because the mean of its divisors is an integer number (3736467).

Almost surely, 2^41457601 is an apocalyptic number.

41457601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

41457601 is the 2880-th centered decagonal number.

It is an amenable number.

41457601 is a deficient number, since it is larger than the sum of its proper divisors (3380003).

41457601 is a wasteful number, since it uses less digits than its factorization.

41457601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 41457601 is about 6438.7577217970. The cubic root of 41457601 is about 346.0998325307.

The spelling of 41457601 in words is "forty-one million, four hundred fifty-seven thousand, six hundred one".