41193130321728 has 1008 divisors, whose sum is σ = 150597539921920. Its totient is φ = 10536693995520.

The previous prime is 41193130321661. The next prime is 41193130321757. The reversal of 41193130321728 is 82712303139114.

41193130321728 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 313 + 0 + 321 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8612402025 + ... + 8612406807.

Almost surely, 2^{41193130321728} is an apocalyptic number.

41193130321728 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 41193130321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75298769960960).

41193130321728 is an abundant number, since it is smaller than the sum of its proper divisors (109404409600192).

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

41193130321728 is a wasteful number, since it uses less digits than its factorization.

41193130321728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 41193130321728 in words is "forty-one trillion, one hundred ninety-three billion, one hundred thirty million, three hundred twenty-one thousand, seven hundred twenty-eight".