40577121 has 36 divisors (see below), whose sum is σ = 64902292. Its totient is φ = 24283584.

The previous prime is 40577107. The next prime is 40577149. The reversal of 40577121 is 12177504.

It can be written as a sum of positive squares in 2 ways, for example, as 8767521 + 31809600 = 2961^2 + 5640^2 .

It is not a de Polignac number, because 40577121 - 2¹⁰ = 40576097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40577821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258375 + ... + 258531.

Almost surely, 2^40577121 is an apocalyptic number.

It is an amenable number.

40577121 is a deficient number, since it is larger than the sum of its proper divisors (24325171).

40577121 is a wasteful number, since it uses less digits than its factorization.

40577121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 40577121 is about 6370.0173469152. The cubic root of 40577121 is about 343.6321135819.

The spelling of 40577121 in words is "forty million, five hundred seventy-seven thousand, one hundred twenty-one".