40127666201753 has 16 divisors (see below), whose sum is σ = 43822728823440. Its totient is φ = 36522903158784.

The previous prime is 40127666201719. The next prime is 40127666201783. The reversal of 40127666201753 is 35710266672104.

40127666201753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17139831840784 + 22987834360969 = 4140028^2 + 4794563^2 .

It is a cyclic number.

It is not a de Polignac number, because 40127666201753 - 2¹⁰ = 40127666200729 is a prime.

It is a super-2 number, since 2×40127666201753² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40127666201713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70484138 + ... + 71051171.

It is an arithmetic number, because the mean of its divisors is an integer number (2738920551465).

Almost surely, 2^{40127666201753} is an apocalyptic number.

It is an amenable number.

40127666201753 is a deficient number, since it is larger than the sum of its proper divisors (3695062621687).

40127666201753 is a wasteful number, since it uses less digits than its factorization.

40127666201753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141535628.

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 40127666201753 in words is "forty trillion, one hundred twenty-seven billion, six hundred sixty-six million, two hundred one thousand, seven hundred fifty-three".