40144516721 has 2 divisors, whose sum is σ = 40144516722. Its totient is φ = 40144516720.

The previous prime is 40144516717. The next prime is 40144516787. The reversal of 40144516721 is 12761544104.

40144516721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35583540496 + 4560976225 = 188636^2 + 67535^2 .

It is a cyclic number.

It is not a de Polignac number, because 40144516721 - 2² = 40144516717 is a prime.

It is a super-2 number, since 2×40144516721² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40144516421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20072258360 + 20072258361.

It is an arithmetic number, because the mean of its divisors is an integer number (20072258361).

Almost surely, 2^40144516721 is an apocalyptic number.

It is an amenable number.

40144516721 is a deficient number, since it is larger than the sum of its proper divisors (1).

40144516721 is an equidigital number, since it uses as much as digits as its factorization.

40144516721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 40144516721 in words is "forty billion, one hundred forty-four million, five hundred sixteen thousand, seven hundred twenty-one".