41167741520 has 80 divisors (see below), whose sum is σ = 97587785232. Its totient is φ = 16145326080.

The previous prime is 41167741499. The next prime is 41167741523. The reversal of 41167741520 is 2514776114.

It can be written as a sum of positive squares in 8 ways, for example, as 8458848784 + 32708892736 = 91972^2 + 180856^2 .

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 (41167741523) 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, 9160394 + ... + 9164886.

Almost surely, 2^41167741520 is an apocalyptic number.

41167741520 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 41167741520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48793892616).

41167741520 is an abundant number, since it is smaller than the sum of its proper divisors (56420043712).

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

41167741520 is a wasteful number, since it uses less digits than its factorization.

41167741520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 41167741520 in words is "forty-one billion, one hundred sixty-seven million, seven hundred forty-one thousand, five hundred twenty".