41084746804080 has 320 divisors, whose sum is σ = 162301934392320. Its totient is φ = 9357615258624.

The previous prime is 41084746804063. The next prime is 41084746804103. The reversal of 41084746804080 is 8040864748014.

41084746804080 is a `hidden beast` number, since 4 + 10 + 8 + 474 + 6 + 80 + 4 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 521827 + ... + 9079746.

It is an arithmetic number, because the mean of its divisors is an integer number (507193544976).

Almost surely, 2^{41084746804080} is an apocalyptic number.

41084746804080 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 41084746804080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81150967196160).

41084746804080 is an abundant number, since it is smaller than the sum of its proper divisors (121217187588240).

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

41084746804080 is a wasteful number, since it uses less digits than its factorization.

41084746804080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9601885 (or 9601873 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 41084746804080 in words is "forty-one trillion, eighty-four billion, seven hundred forty-six million, eight hundred four thousand, eighty".