40207659584401 has 27 divisors (see below), whose sum is σ = 40996823727153. Its totient is φ = 39433613354880.

The previous prime is 40207659584359. The next prime is 40207659584413. The reversal of 40207659584401 is 10448595670204.

The square root of 40207659584401 is 6340951.

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 3121069889025 + 37086589695376 = 1766655^2 + 6089876^2 .

It is not a de Polignac number, because 40207659584401 - 2¹¹ = 40207659582353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40207659084401) 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, 126838042695 + ... + 126838043011.

Almost surely, 2^{40207659584401} is an apocalyptic number.

40207659584401 is the 6340951-st square number.

40207659584401 is the 3170476-th centered octagonal number.

It is an amenable number.

40207659584401 is a deficient number, since it is larger than the sum of its proper divisors (789164142752).

40207659584401 is an frugal number, since it uses more digits than its factorization.

40207659584401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 40207659584401 in words is "forty trillion, two hundred seven billion, six hundred fifty-nine million, five hundred eighty-four thousand, four hundred one".