40095657121 has 27 divisors (see below), whose sum is σ = 44229709017. Its totient is φ = 36331364160.

The previous prime is 40095657101. The next prime is 40095657127. The reversal of 40095657121 is 12175659004.

The square root of 40095657121 is 200239.

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 4033647121 + 36062010000 = 63511^2 + 189900^2 .

It is not a de Polignac number, because 40095657121 - 2³⁵ = 5735918753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40095657127) 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 in 26 ways as a sum of consecutive naturals, for example, 190026706 + ... + 190026916.

It is an arithmetic number, because the mean of its divisors is an integer number (1638137371).

Almost surely, 2^40095657121 is an apocalyptic number.

40095657121 is the 200239-th square number.

40095657121 is the 100120-th centered octagonal number.

It is an amenable number.

40095657121 is a deficient number, since it is larger than the sum of its proper divisors (4134051896).

40095657121 is an frugal number, since it uses more digits than its factorization.

40095657121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 40095657121 in words is "forty billion, ninety-five million, six hundred fifty-seven thousand, one hundred twenty-one".