40168577241 has 63 divisors (see below), whose sum is σ = 65328805647. Its totient is φ = 24675833520.

The previous prime is 40168577203. The next prime is 40168577243. The reversal of 40168577241 is 14277586104.

The square root of 40168577241 is 200421.

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

40168577241 is a `hidden beast` number, since 40 + 16 + 8 + 577 + 24 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5942097225 + 34226480016 = 77085^2 + 185004^2 .

It is not a de Polignac number, because 40168577241 - 2⁹ = 40168576729 is a prime.

It is a super-2 number, since 2×40168577241² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40168577243) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 70347486 + ... + 70348056.

It is an arithmetic number, because the mean of its divisors is an integer number (1036965169).

Almost surely, 2^40168577241 is an apocalyptic number.

40168577241 is the 200421-st square number.

40168577241 is the 100211-st centered octagonal number.

It is an amenable number.

40168577241 is a deficient number, since it is larger than the sum of its proper divisors (25160228406).

40168577241 is an frugal number, since it uses more digits than its factorization.

40168577241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 40168577241 in words is "forty billion, one hundred sixty-eight million, five hundred seventy-seven thousand, two hundred forty-one".