41116562565120 has 1920 divisors, whose sum is σ = 180627192345600. Its totient is φ = 8731622375424.

The previous prime is 41116562565107. The next prime is 41116562565131. The reversal of 41116562565120 is 2156526561114.

41116562565120 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 6 + 5 + 62 + 565 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×41116562565120³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7797562804 + ... + 7797568076.

It is an arithmetic number, because the mean of its divisors is an integer number (94076662680).

Almost surely, 2^{41116562565120} is an apocalyptic number.

41116562565120 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 41116562565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90313596172800).

41116562565120 is an abundant number, since it is smaller than the sum of its proper divisors (139510629780480).

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

41116562565120 is a wasteful number, since it uses less digits than its factorization.

41116562565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 41116562565120 in words is "forty-one trillion, one hundred sixteen billion, five hundred sixty-two million, five hundred sixty-five thousand, one hundred twenty".