41145741520 has 80 divisors (see below), whose sum is σ = 103199644800. Its totient is φ = 15166167552.

The previous prime is 41145741493. The next prime is 41145741521. The reversal of 41145741520 is 2514754114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41145741521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576781 + ... + 644179.

It is an arithmetic number, because the mean of its divisors is an integer number (1289995560).

Almost surely, 2^41145741520 is an apocalyptic number.

41145741520 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 41145741520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51599822400).

41145741520 is an abundant number, since it is smaller than the sum of its proper divisors (62053903280).

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

41145741520 is a wasteful number, since it uses less digits than its factorization.

41145741520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68012 (or 68006 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The spelling of 41145741520 in words is "forty-one billion, one hundred forty-five million, seven hundred forty-one thousand, five hundred twenty".