41256000 has 224 divisors, whose sum is σ = 152156160. Its totient is φ = 10944000.

The previous prime is 41255983. The next prime is 41256013. The reversal of 41256000 is 65214.

It is a happy number.

41256000 is a `hidden beast` number, since 41 + 25 + 600 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215905 + ... + 216095.

Almost surely, 2^41256000 is an apocalyptic number.

41256000 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 41256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

41256000 is an abundant number, since it is smaller than the sum of its proper divisors (110900160).

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

41256000 is a wasteful number, since it uses less digits than its factorization.

41256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 41256000 is about 6423.0833717149. The cubic root of 41256000 is about 345.5379132295.

The spelling of 41256000 in words is "forty-one million, two hundred fifty-six thousand".