40105269169 has 45 divisors (see below), whose sum is σ = 48286805931. Its totient is φ = 33307742160.

The previous prime is 40105269137. The next prime is 40105269203. The reversal of 40105269169 is 96196250104.

The square root of 40105269169 is 200263.

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

It can be written as a sum of positive squares in only one way, i.e., 1304148769 + 38801120400 = 36113^2 + 196980^2 .

It is not a de Polignac number, because 40105269169 - 2⁵ = 40105269137 is a prime.

It is a super-2 number, since 2×40105269169² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40105269569) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 598586074 + ... + 598586140.

Almost surely, 2^40105269169 is an apocalyptic number.

40105269169 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40105269169 is the 200263-rd square number.

40105269169 is the 100132-nd centered octagonal number.

It is an amenable number.

40105269169 is a deficient number, since it is larger than the sum of its proper divisors (8181536762).

40105269169 is an frugal number, since it uses more digits than its factorization.

40105269169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 40105269169 in words is "forty billion, one hundred five million, two hundred sixty-nine thousand, one hundred sixty-nine".