40501655001601 has 2 divisors, whose sum is σ = 40501655001602. Its totient is φ = 40501655001600.

The previous prime is 40501655001589. The next prime is 40501655001659. The reversal of 40501655001601 is 10610055610504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34105611680001 + 6396043321600 = 5840001^2 + 2529040^2 .

It is a cyclic number.

It is not a de Polignac number, because 40501655001601 - 2⁵ = 40501655001569 is a prime.

It is a super-2 number, since 2×40501655001601² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40501655031601) 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 as a sum of consecutive naturals, namely, 20250827500800 + 20250827500801.

It is an arithmetic number, because the mean of its divisors is an integer number (20250827500801).

Almost surely, 2^{40501655001601} is an apocalyptic number.

It is an amenable number.

40501655001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

40501655001601 is an equidigital number, since it uses as much as digits as its factorization.

40501655001601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 40501655001601 in words is "forty trillion, five hundred one billion, six hundred fifty-five million, one thousand, six hundred one".