41126400 has 480 divisors, whose sum is σ = 182666880. Its totient is φ = 8847360.

The previous prime is 41126399. The next prime is 41126401. The reversal of 41126400 is 462114.

It is an interprime number because it is at equal distance from previous prime (41126399) and next prime (41126401).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (41126401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419192 + ... + 2419208.

It is an arithmetic number, because the mean of its divisors is an integer number (380556).

Almost surely, 2^41126400 is an apocalyptic number.

41126400 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 41126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

41126400 is an abundant number, since it is smaller than the sum of its proper divisors (141540480).

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

41126400 is a wasteful number, since it uses less digits than its factorization.

41126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

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

The square root of 41126400 is about 6412.9868236259. The cubic root of 41126400 is about 345.1757138936.

Adding to 41126400 its reverse (462114), we get a palindrome (41588514).

The spelling of 41126400 in words is "forty-one million, one hundred twenty-six thousand, four hundred".