41617369728 has 192 divisors, whose sum is σ = 135485269920. Its totient is φ = 12611220480.

The previous prime is 41617369721. The next prime is 41617369747. The reversal of 41617369728 is 82796371614.

It is a tau number, because it is divible by the number of its divisors (192).

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 (41617369721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281326 + ... + 402962.

Almost surely, 2^41617369728 is an apocalyptic number.

41617369728 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 41617369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67742634960).

41617369728 is an abundant number, since it is smaller than the sum of its proper divisors (93867900192).

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

41617369728 is a wasteful number, since it uses less digits than its factorization.

41617369728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121677 (or 121653 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 41617369728 in words is "forty-one billion, six hundred seventeen million, three hundred sixty-nine thousand, seven hundred twenty-eight".