40772017778209 has 9 divisors (see below), whose sum is σ = 41451764783481. Its totient is φ = 40103240926320.

The previous prime is 40772017778207. The next prime is 40772017778227. The reversal of 40772017778209 is 90287771027704.

The square root of 40772017778209 is 6385297.

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 960057030625 + 39811960747584 = 979825^2 + 6309672^2 .

It is not a de Polignac number, because 40772017778209 - 2¹ = 40772017778207 is a prime.

It is a super-3 number, since 3×40772017778209³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40772017778207) 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, 389450779 + ... + 389555455.

It is an arithmetic number, because the mean of its divisors is an integer number (4605751642609).

Almost surely, 2^{40772017778209} is an apocalyptic number.

40772017778209 is the 6385297-th square number.

40772017778209 is the 3192649-th centered octagonal number.

It is an amenable number.

40772017778209 is a deficient number, since it is larger than the sum of its proper divisors (679747005272).

40772017778209 is an frugal number, since it uses more digits than its factorization.

40772017778209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209476 (or 104738 counting only the distinct ones).

The product of its (nonzero) digits is 19361664, while the sum is 61.

The spelling of 40772017778209 in words is "forty trillion, seven hundred seventy-two billion, seventeen million, seven hundred seventy-eight thousand, two hundred nine".