41778255172752 has 480 divisors, whose sum is σ = 148268210227200. Its totient is φ = 11002746751488.

The previous prime is 41778255172729. The next prime is 41778255172769. The reversal of 41778255172752 is 25727155287714.

It is a happy number.

41778255172752 is a `hidden beast` number, since 4 + 1 + 7 + 7 + 8 + 2 + 551 + 7 + 2 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 41778255172752.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78391693 + ... + 78922835.

It is an arithmetic number, because the mean of its divisors is an integer number (308892104640).

Almost surely, 2^{41778255172752} is an apocalyptic number.

41778255172752 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 41778255172752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74134105113600).

41778255172752 is an abundant number, since it is smaller than the sum of its proper divisors (106489955054448).

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

41778255172752 is a wasteful number, since it uses less digits than its factorization.

41778255172752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531260 (or 531211 counting only the distinct ones).

The product of its digits is 76832000, while the sum is 63.

The spelling of 41778255172752 in words is "forty-one trillion, seven hundred seventy-eight billion, two hundred fifty-five million, one hundred seventy-two thousand, seven hundred fifty-two".