41164032 has 288 divisors, whose sum is σ = 146513920. Its totient is φ = 9953280.

The previous prime is 41164031. The next prime is 41164049. The reversal of 41164032 is 23046114.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41164031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327857 + ... + 1327887.

Almost surely, 2^41164032 is an apocalyptic number.

41164032 is a gapful number since it is divisible by the number (42) 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 41164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256960).

41164032 is an abundant number, since it is smaller than the sum of its proper divisors (105349888).

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

41164032 is a wasteful number, since it uses less digits than its factorization.

41164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 41164032 is about 6415.9201990050. The cubic root of 41164032 is about 345.2809641505.

The spelling of 41164032 in words is "forty-one million, one hundred sixty-four thousand, thirty-two".