41261000 has 128 divisors (see below), whose sum is σ = 109624320. Its totient is φ = 14520000.

The previous prime is 41260993. The next prime is 41261029. The reversal of 41261000 is 16214.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330985 + ... + 1331015.

It is an arithmetic number, because the mean of its divisors is an integer number (856440).

Almost surely, 2^41261000 is an apocalyptic number.

41261000 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 41261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54812160).

41261000 is an abundant number, since it is smaller than the sum of its proper divisors (68363320).

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

41261000 is a wasteful number, since it uses less digits than its factorization.

41261000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 41261000 is about 6423.4725810888. The cubic root of 41261000 is about 345.5518717631.

Adding to 41261000 its reverse (16214), we get a palindrome (41277214).

The spelling of 41261000 in words is "forty-one million, two hundred sixty-one thousand".