41598879049728 has 1536 divisors, whose sum is σ = 166466506752000. Its totient is φ = 9971514408960.

The previous prime is 41598879049703. The next prime is 41598879049759. The reversal of 41598879049728 is 82794097889514.

41598879049728 is a `hidden beast` number, since 4 + 1 + 59 + 8 + 8 + 79 + 0 + 497 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×41598879049728² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9354366801 + ... + 9354371247.

It is an arithmetic number, because the mean of its divisors is an integer number (108376632000).

Almost surely, 2^{41598879049728} is an apocalyptic number.

41598879049728 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 41598879049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83233253376000).

41598879049728 is an abundant number, since it is smaller than the sum of its proper divisors (124867627702272).

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

41598879049728 is a wasteful number, since it uses less digits than its factorization.

41598879049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 81.

The spelling of 41598879049728 in words is "forty-one trillion, five hundred ninety-eight billion, eight hundred seventy-nine million, forty-nine thousand, seven hundred twenty-eight".