41164900 has 108 divisors (see below), whose sum is σ = 107659776. Its totient is φ = 13608000.

The previous prime is 41164853. The next prime is 41164909. The reversal of 41164900 is 946114.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41164909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151765 + ... + 152035.

Almost surely, 2^41164900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41164900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53829888).

41164900 is an abundant number, since it is smaller than the sum of its proper divisors (66494876).

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

41164900 is a wasteful number, since it uses less digits than its factorization.

41164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 41164900 is about 6415.9878428813. The cubic root of 41164900 is about 345.2833910408.

The spelling of 41164900 in words is "forty-one million, one hundred sixty-four thousand, nine hundred".