41474664 has 96 divisors (see below), whose sum is σ = 140063040. Its totient is φ = 10771200.

The previous prime is 41474647. The next prime is 41474677. The reversal of 41474664 is 46647414.

41474664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1804 + ... + 9284.

It is an arithmetic number, because the mean of its divisors is an integer number (1458990).

Almost surely, 2^41474664 is an apocalyptic number.

41474664 is a gapful number since it is divisible by the number (44) 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 41474664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70031520).

41474664 is an abundant number, since it is smaller than the sum of its proper divisors (98588376).

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

41474664 is a wasteful number, since it uses less digits than its factorization.

41474664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511 (or 7504 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 41474664 is about 6440.0826081658. The cubic root of 41474664 is about 346.1473082754.

It can be divided in two parts, 414 and 74664, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 41474664 in words is "forty-one million, four hundred seventy-four thousand, six hundred sixty-four".