35540167441 has 9 divisors (see below), whose sum is σ = 36233575441. Its totient is φ = 34859795152.

The previous prime is 35540167427. The next prime is 35540167447. The reversal of 35540167441 is 14476104553.

The square root of 35540167441 is 188521.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1389127441 + 34151040000 = 37271^2 + 184800^2 .

It is not a de Polignac number, because 35540167441 - 2⁵ = 35540167409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35540167394 and 35540167403.

It is not an unprimeable number, because it can be changed into a prime (35540167447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9989835 + ... + 9993391.

Almost surely, 2^35540167441 is an apocalyptic number.

35540167441 is the 188521-st square number.

35540167441 is the 94261-st centered octagonal number.

It is an amenable number.

35540167441 is a deficient number, since it is larger than the sum of its proper divisors (693408000).

35540167441 is an frugal number, since it uses more digits than its factorization.

35540167441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 35540167441 in words is "thirty-five billion, five hundred forty million, one hundred sixty-seven thousand, four hundred forty-one".