41782848960 has 112 divisors (see below), whose sum is σ = 133334552736. Its totient is φ = 11085484032.

The previous prime is 41782848953. The next prime is 41782848967. The reversal of 41782848960 is 6984828714.

It is an interprime number because it is at equal distance from previous prime (41782848953) and next prime (41782848967).

It is a self number, because there is not a number n which added to its sum of digits gives 41782848960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41782848967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78654 + ... + 299586.

It is an arithmetic number, because the mean of its divisors is an integer number (1190487078).

Almost surely, 2^41782848960 is an apocalyptic number.

41782848960 is a gapful number since it is divisible by the number (40) 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 41782848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66667276368).

41782848960 is an abundant number, since it is smaller than the sum of its proper divisors (91551703776).

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

41782848960 is a wasteful number, since it uses less digits than its factorization.

41782848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221150 (or 221140 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 41782848960 in words is "forty-one billion, seven hundred eighty-two million, eight hundred forty-eight thousand, nine hundred sixty".