40188621841 has 9 divisors (see below), whose sum is σ = 40381796091. Its totient is φ = 39996370152.

The previous prime is 40188621827. The next prime is 40188621857. The reversal of 40188621841 is 14812688104.

The square root of 40188621841 is 200471.

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

40188621841 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 only one way, i.e., 9351857025 + 30836764816 = 96705^2 + 175604^2 .

It is not a de Polignac number, because 40188621841 - 2⁷ = 40188621713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40188621881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61544271 + ... + 61544923.

Almost surely, 2^40188621841 is an apocalyptic number.

40188621841 is the 200471-st square number.

40188621841 is the 100236-th centered octagonal number.

It is an amenable number.

40188621841 is a deficient number, since it is larger than the sum of its proper divisors (193174250).

40188621841 is an frugal number, since it uses more digits than its factorization.

40188621841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 40188621841 in words is "forty billion, one hundred eighty-eight million, six hundred twenty-one thousand, eight hundred forty-one".