41611741248 has 168 divisors, whose sum is σ = 138305129536. Its totient is φ = 10808202240.

The previous prime is 41611741247. The next prime is 41611741267. The reversal of 41611741248 is 84214711614.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41611741247) 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, 34686 + ... + 290562.

Almost surely, 2^41611741248 is an apocalyptic number.

41611741248 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 41611741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69152564768).

41611741248 is an abundant number, since it is smaller than the sum of its proper divisors (96693388288).

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

41611741248 is a wasteful number, since it uses less digits than its factorization.

41611741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255921 (or 255900 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The spelling of 41611741248 in words is "forty-one billion, six hundred eleven million, seven hundred forty-one thousand, two hundred forty-eight".