41201000 has 32 divisors (see below), whose sum is σ = 96412680. Its totient is φ = 16480000.

The previous prime is 41200963. The next prime is 41201011. The reversal of 41201000 is 10214.

41201000 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 4 ways, for example, as 19838116 + 21362884 = 4454^2 + 4622^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 7 ways as a sum of consecutive naturals, for example, 19601 + ... + 21600.

Almost surely, 2^41201000 is an apocalyptic number.

41201000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41201000 is an abundant number, since it is smaller than the sum of its proper divisors (55211680).

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

41201000 is a wasteful number, since it uses less digits than its factorization.

41201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41222 (or 41208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 41201000 is about 6418.8005109989. The cubic root of 41201000 is about 345.3842948731.

Adding to 41201000 its reverse (10214), we get a palindrome (41211214).

The spelling of 41201000 in words is "forty-one million, two hundred one thousand".