41782659072 has 864 divisors, whose sum is σ = 150998964480. Its totient is φ = 10218700800.

The previous prime is 41782659067. The next prime is 41782659077. The reversal of 41782659072 is 27095628714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41782659067) and next prime (41782659077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41782659077) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1129261038 + ... + 1129261074.

It is an arithmetic number, because the mean of its divisors is an integer number (174767320).

Almost surely, 2^41782659072 is an apocalyptic number.

41782659072 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 41782659072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75499482240).

41782659072 is an abundant number, since it is smaller than the sum of its proper divisors (109216305408).

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

41782659072 is a wasteful number, since it uses less digits than its factorization.

41782659072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 41782659072 in words is "forty-one billion, seven hundred eighty-two million, six hundred fifty-nine thousand, seventy-two".