41381639520768 has 400 divisors, whose sum is σ = 124072225416216. Its totient is φ = 13731571630080.

The previous prime is 41381639520757. The next prime is 41381639520773. The reversal of 41381639520768 is 86702593618314.

41381639520768 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 1 + 6 + 39 + 520 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40523511492864 + 858128027904 = 6365808^2 + 926352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18141883788 + ... + 18141886068.

It is a 2-persistent number, because it is pandigital, and so is 2⋅41381639520768 = 82763279041536, but 3⋅41381639520768 = 124144918562304 is not.

Almost surely, 2^{41381639520768} is an apocalyptic number.

41381639520768 is a gapful number since it is divisible by the number (48) 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 41381639520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62036112708108).

41381639520768 is an abundant number, since it is smaller than the sum of its proper divisors (82690585895448).

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

41381639520768 is a wasteful number, since it uses less digits than its factorization.

41381639520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 41381639520768 in words is "forty-one trillion, three hundred eighty-one billion, six hundred thirty-nine million, five hundred twenty thousand, seven hundred sixty-eight".