41261400 has 168 divisors, whose sum is σ = 144341580. Its totient is φ = 10964160.

The previous prime is 41261399. The next prime is 41261413. The reversal of 41261400 is 416214.

41261400 is a `hidden beast` number, since 4 + 1 + 261 + 400 = 666.

41261400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 145659 + ... + 145941.

Almost surely, 2^41261400 is an apocalyptic number.

41261400 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 41261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72170790).

41261400 is an abundant number, since it is smaller than the sum of its proper divisors (103080180).

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

41261400 is a wasteful number, since it uses less digits than its factorization.

41261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41261400 is about 6423.5037168200. The cubic root of 41261400 is about 345.5529883970.

Adding to 41261400 its reverse (416214), we get a palindrome (41677614).

The spelling of 41261400 in words is "forty-one million, two hundred sixty-one thousand, four hundred".