40101151507209 has 81 divisors (see below), whose sum is σ = 63034821020223. Its totient is φ = 24555286888704.

The previous prime is 40101151507199. The next prime is 40101151507213. The reversal of 40101151507209 is 90270515110104.

The square root of 40101151507209 is 6332547.

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

40101151507209 is a `hidden beast` number, since 4 + 0 + 10 + 115 + 1 + 507 + 20 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9719448465609 + 30381703041600 = 3117603^2 + 5511960^2 .

It is not a de Polignac number, because 40101151507209 - 2¹¹ = 40101151505161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40101151507309) 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, 98046824997 + ... + 98046825405.

Almost surely, 2^{40101151507209} is an apocalyptic number.

40101151507209 is the 6332547-th square number.

40101151507209 is the 3166274-th centered octagonal number.

It is an amenable number.

40101151507209 is a deficient number, since it is larger than the sum of its proper divisors (22933669513014).

40101151507209 is an frugal number, since it uses more digits than its factorization.

40101151507209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 40101151507209 in words is "forty trillion, one hundred one billion, one hundred fifty-one million, five hundred seven thousand, two hundred nine".