40034687326209 has 15 divisors (see below), whose sum is σ = 59804988356883. Its totient is φ = 26689753587024.

The previous prime is 40034687326199. The next prime is 40034687326253. The reversal of 40034687326209 is 90262378643004.

The square root of 40034687326209 is 6327297.

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

40034687326209 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 4 + 6 + 8 + 7 + 3 + 2 + 620 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5369346324225 + 34665341001984 = 2317185^2 + 5887728^2 .

It is not a de Polignac number, because 40034687326209 - 2¹¹ = 40034687324161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40034687324209) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 56594157 + ... + 57297189.

Almost surely, 2^{40034687326209} is an apocalyptic number.

40034687326209 is the 6327297-th square number.

40034687326209 is the 3163649-th centered octagonal number.

It is an amenable number.

40034687326209 is a deficient number, since it is larger than the sum of its proper divisors (19770301030674).

40034687326209 is an frugal number, since it uses more digits than its factorization.

40034687326209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406078 (or 703036 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 40034687326209 in words is "forty trillion, thirty-four billion, six hundred eighty-seven million, three hundred twenty-six thousand, two hundred nine".