41098488238080 has 6240 divisors, whose sum is σ = 205002985017600. Its totient is φ = 7769482592256.

The previous prime is 41098488238051. The next prime is 41098488238117. The reversal of 41098488238080 is 8083288489014.

41098488238080 is a `hidden beast` number, since 4 + 10 + 98 + 4 + 8 + 82 + 380 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

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 = 41098488237999 and 41098488238017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 461780766676 + ... + 461780766764.

Almost surely, 2^{41098488238080} is an apocalyptic number.

41098488238080 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 41098488238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102501492508800).

41098488238080 is an abundant number, since it is smaller than the sum of its proper divisors (163904496779520).

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

41098488238080 is a wasteful number, since it uses less digits than its factorization.

41098488238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 41098488238080 in words is "forty-one trillion, ninety-eight billion, four hundred eighty-eight million, two hundred thirty-eight thousand, eighty".