27040998409216 has 495 divisors, whose sum is σ = 63973886813445. Its totient is φ = 11421906862080.

The previous prime is 27040998409213. The next prime is 27040998409241. The reversal of 27040998409216 is 61290489904072.

The square root of 27040998409216 is 5200096.

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., 21052680422400 + 5988317986816 = 4588320^2 + 2447104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27040998409213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 342291119065 + ... + 342291119143.

Almost surely, 2^{27040998409216} is an apocalyptic number.

27040998409216 is the 5200096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27040998409216

27040998409216 is an abundant number, since it is smaller than the sum of its proper divisors (36932888404229).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27040998409216 is an frugal number, since it uses more digits than its factorization.

27040998409216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 27040998409216 in words is "twenty-seven trillion, forty billion, nine hundred ninety-eight million, four hundred nine thousand, two hundred sixteen".