41066784 has 192 divisors, whose sum is σ = 136080000. Its totient is φ = 11934720.

The previous prime is 41066761. The next prime is 41066819. The reversal of 41066784 is 48766014.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275542 + ... + 275690.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 2^41066784 is an apocalyptic number.

41066784 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 41066784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040000).

41066784 is an abundant number, since it is smaller than the sum of its proper divisors (95013216).

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

41066784 is a wasteful number, since it uses less digits than its factorization.

41066784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 41066784 is about 6408.3370697865. The cubic root of 41066784 is about 345.0088466541.

The spelling of 41066784 in words is "forty-one million, sixty-six thousand, seven hundred eighty-four".