41464032 has 96 divisors (see below), whose sum is σ = 115395840. Its totient is φ = 13009920.

The previous prime is 41464021. The next prime is 41464043. The reversal of 41464032 is 23046414.

It is an interprime number because it is at equal distance from previous prime (41464021) and next prime (41464043).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41463993 and 41464011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196407 + ... + 196617.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 2^41464032 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 41464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

41464032 is an abundant number, since it is smaller than the sum of its proper divisors (73931808).

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

41464032 is a wasteful number, since it uses less digits than its factorization.

41464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 41464032 is about 6439.2571000077. The cubic root of 41464032 is about 346.1177275439.

It can be divided in two parts, 414 and 64032, that added together give a palindrome (64446).

The spelling of 41464032 in words is "forty-one million, four hundred sixty-four thousand, thirty-two".