41381684041000 has 128 divisors (see below), whose sum is σ = 99573254445600. Its totient is φ = 16085384755200.

The previous prime is 41381684040959. The next prime is 41381684041007. The reversal of 41381684041000 is 14048618314.

It can be written as a sum of positive squares in 16 ways, for example, as 10688466339684 + 30693217701316 = 3269322^2 + 5540146^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (41381684041007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29241762 + ... + 30624238.

Almost surely, 2^{41381684041000} is an apocalyptic number.

41381684041000 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 41381684041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49786627222800).

41381684041000 is an abundant number, since it is smaller than the sum of its proper divisors (58191570404600).

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

41381684041000 is a wasteful number, since it uses less digits than its factorization.

41381684041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383344 (or 1383330 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 41381684041000 in words is "forty-one trillion, three hundred eighty-one billion, six hundred eighty-four million, forty-one thousand".