41556000 has 96 divisors (see below), whose sum is σ = 136176768. Its totient is φ = 11078400.

The previous prime is 41555993. The next prime is 41556023. The reversal of 41556000 is 65514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×41556000² = 3453802272000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10269 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (1418508).

Almost surely, 2^41556000 is an apocalyptic number.

41556000 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 41556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68088384).

41556000 is an abundant number, since it is smaller than the sum of its proper divisors (94620768).

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

41556000 is a wasteful number, since it uses less digits than its factorization.

41556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 41556000 is about 6446.3943410251. The cubic root of 41556000 is about 346.3734371160.

The spelling of 41556000 in words is "forty-one million, five hundred fifty-six thousand".