41077101041001 has 6 divisors (see below), whose sum is σ = 59333590392570. Its totient is φ = 27384734027328.

The previous prime is 41077101040993. The next prime is 41077101041017. The reversal of 41077101041001 is 10014010177014.

It can be written as a sum of positive squares in only one way, i.e., 35101892349225 + 5975208691776 = 5924685^2 + 2444424^2 .

It is not a de Polignac number, because 41077101041001 - 2³ = 41077101040993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41077101041101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2282061168936 + ... + 2282061168953.

It is an arithmetic number, because the mean of its divisors is an integer number (9888931732095).

Almost surely, 2^{41077101041001} is an apocalyptic number.

It is an amenable number.

41077101041001 is a deficient number, since it is larger than the sum of its proper divisors (18256489351569).

41077101041001 is a wasteful number, since it uses less digits than its factorization.

41077101041001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564122337895 (or 4564122337892 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The spelling of 41077101041001 in words is "forty-one trillion, seventy-seven billion, one hundred one million, forty-one thousand, one".