41689074816 has 320 divisors, whose sum is σ = 130505542200. Its totient is φ = 13191413760.

The previous prime is 41689074811. The next prime is 41689074829. The reversal of 41689074816 is 61847098614.

41689074816 is a `hidden beast` number, since 416 + 89 + 0 + 74 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33524145216 + 8164929600 = 183096^2 + 90360^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41689074811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18339856 + ... + 18342128.

Almost surely, 2^41689074816 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 41689074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65252771100).

41689074816 is an abundant number, since it is smaller than the sum of its proper divisors (88816467384).

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

41689074816 is a wasteful number, since it uses less digits than its factorization.

41689074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 41689074816 in words is "forty-one billion, six hundred eighty-nine million, seventy-four thousand, eight hundred sixteen".