41387676382080 has 1280 divisors, whose sum is σ = 171185664798720. Its totient is φ = 9333688320000.

The previous prime is 41387676382027. The next prime is 41387676382093. The reversal of 41387676382080 is 8028367678314.

41387676382080 is a `hidden beast` number, since 41 + 3 + 8 + 76 + 76 + 382 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41387676381999 and 41387676382017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11398421865 + ... + 11398425495.

It is an arithmetic number, because the mean of its divisors is an integer number (133738800624).

Almost surely, 2^{41387676382080} is an apocalyptic number.

41387676382080 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 41387676382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85592832399360).

41387676382080 is an abundant number, since it is smaller than the sum of its proper divisors (129797988416640).

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

41387676382080 is a wasteful number, since it uses less digits than its factorization.

41387676382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 41387676382080 in words is "forty-one trillion, three hundred eighty-seven billion, six hundred seventy-six million, three hundred eighty-two thousand, eighty".