41290000 has 50 divisors (see below), whose sum is σ = 99991430. Its totient is φ = 16512000.

The previous prime is 41289977. The next prime is 41290001. The reversal of 41290000 is 9214.

It can be written as a sum of positive squares in 5 ways, for example, as 15116544 + 26173456 = 3888^2 + 5116^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41290001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7936 + ... + 12064.

Almost surely, 2^41290000 is an apocalyptic number.

41290000 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 41290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49995715).

41290000 is an abundant number, since it is smaller than the sum of its proper divisors (58701430).

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

41290000 is an equidigital number, since it uses as much as digits as its factorization.

41290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 41290000 is about 6425.7295305669. The cubic root of 41290000 is about 345.6328090280.

Adding to 41290000 its reverse (9214), we get a palindrome (41299214).

The spelling of 41290000 in words is "forty-one million, two hundred ninety thousand".