41901680601 has 27 divisors (see below), whose sum is σ = 66537821077. Its totient is φ = 25390863960.

The previous prime is 41901680551. The next prime is 41901680641. The reversal of 41901680601 is 10608610914.

It is a happy number.

The square root of 41901680601 is 204699.

It is a perfect power (a square), and thus also a powerful number.

41901680601 is a `hidden beast` number, since 41 + 9 + 0 + 1 + 6 + 8 + 0 + 601 = 666.

41901680601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41901680601 - 2¹³ = 41901672409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41901680641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6751966 + ... + 6758168.

Almost surely, 2^41901680601 is an apocalyptic number.

41901680601 is the 204699-th square number.

41901680601 is the 102350-th centered octagonal number.

It is an amenable number.

41901680601 is a deficient number, since it is larger than the sum of its proper divisors (24636140476).

41901680601 is an frugal number, since it uses more digits than its factorization.

41901680601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12434 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 41901680601 by its sum of digits (36), we get a square (1508460501636 = 1228194²).

The spelling of 41901680601 in words is "forty-one billion, nine hundred one million, six hundred eighty thousand, six hundred one".