41193542393856 has 392 divisors, whose sum is σ = 130017811764720. Its totient is φ = 13008451239936.

The previous prime is 41193542393833. The next prime is 41193542393879. The reversal of 41193542393856 is 65839324539114.

41193542393856 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 3 + 542 + 3 + 9 + 3 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41193542393833) and next prime (41193542393879).

It is a super-2 number, since 2×41193542393856² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41193542393793 and 41193542393802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 113285871 + ... + 113648913.

Almost surely, 2^{41193542393856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41193542393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65008905882360).

41193542393856 is an abundant number, since it is smaller than the sum of its proper divisors (88824269370864).

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

41193542393856 is an frugal number, since it uses more digits than its factorization.

41193542393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363106 (or 363067 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 41193542393856 in words is "forty-one trillion, one hundred ninety-three billion, five hundred forty-two million, three hundred ninety-three thousand, eight hundred fifty-six".