41782372560 has 320 divisors, whose sum is σ = 153374112000. Its totient is φ = 10554706944.

The previous prime is 41782372549. The next prime is 41782372627. The reversal of 41782372560 is 6527328714.

41782372560 is a `hidden beast` number, since 4 + 1 + 7 + 82 + 3 + 7 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3317956 + ... + 3330524.

It is an arithmetic number, because the mean of its divisors is an integer number (479294100).

Almost surely, 2^41782372560 is an apocalyptic number.

41782372560 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 41782372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76687056000).

41782372560 is an abundant number, since it is smaller than the sum of its proper divisors (111591739440).

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

41782372560 is a wasteful number, since it uses less digits than its factorization.

41782372560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622 (or 12598 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 41782372560 in words is "forty-one billion, seven hundred eighty-two million, three hundred seventy-two thousand, five hundred sixty".