40669457862121 has 81 divisors (see below), whose sum is σ = 48301284071397. Its totient is φ = 34210689089280.

The previous prime is 40669457862107. The next prime is 40669457862149. The reversal of 40669457862121 is 12126875496604.

The square root of 40669457862121 is 6377261.

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 14266673265625 + 26402784596496 = 3777125^2 + 5138364^2 .

It is not a de Polignac number, because 40669457862121 - 2⁷ = 40669457861993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40669457862121.

It is not an unprimeable number, because it can be changed into a prime (40669457862101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79900702815 + ... + 79900703323.

Almost surely, 2^{40669457862121} is an apocalyptic number.

40669457862121 is the 6377261-st square number.

40669457862121 is the 3188631-st centered octagonal number.

It is an amenable number.

40669457862121 is a deficient number, since it is larger than the sum of its proper divisors (7631826209276).

40669457862121 is an frugal number, since it uses more digits than its factorization.

40669457862121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 40669457862121 in words is "forty trillion, six hundred sixty-nine billion, four hundred fifty-seven million, eight hundred sixty-two thousand, one hundred twenty-one".