41552000 has 192 divisors, whose sum is σ = 122442840. Its totient is φ = 13977600.

The previous prime is 41551973. The next prime is 41552011. The reversal of 41552000 is 25514.

It can be written as a sum of positive squares in 4 ways, for example, as 16711744 + 24840256 = 4088^2 + 4984^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41552000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783974 + ... + 784026.

Almost surely, 2^41552000 is an apocalyptic number.

41552000 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 41552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61221420).

41552000 is an abundant number, since it is smaller than the sum of its proper divisors (80890840).

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

41552000 is an equidigital number, since it uses as much as digits as its factorization.

41552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 41552000 is about 6446.0840826039. The cubic root of 41552000 is about 346.3623232921.

Adding to 41552000 its reverse (25514), we get a palindrome (41577514).

The spelling of 41552000 in words is "forty-one million, five hundred fifty-two thousand".