41542711895680 has 128 divisors (see below), whose sum is σ = 105735961290960. Its totient is φ = 15553201766400.

The previous prime is 41542711895669. The next prime is 41542711895681. The reversal of 41542711895680 is 8659811724514.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5052317125696 + 36490394769984 = 2247736^2 + 6040728^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (41542711895681) 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, 8578411 + ... + 12516970.

Almost surely, 2^{41542711895680} is an apocalyptic number.

41542711895680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41542711895680 is an abundant number, since it is smaller than the sum of its proper divisors (64193249395280).

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

41542711895680 is a wasteful number, since it uses less digits than its factorization.

41542711895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21095598 (or 21095586 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 61.

The spelling of 41542711895680 in words is "forty-one trillion, five hundred forty-two billion, seven hundred eleven million, eight hundred ninety-five thousand, six hundred eighty".