1278077731441 has 9 divisors (see below), whose sum is σ = 1486752689241. Its totient is φ = 1095488415252.

The previous prime is 1278077731339. The next prime is 1278077731453. The reversal of 1278077731441 is 1441377708721.

The square root of 1278077731441 is 1130521.

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

It is not a de Polignac number, because 1278077731441 - 2⁹ = 1278077730929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1278077734441) 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 8 ways as a sum of consecutive naturals, for example, 7832896 + ... + 7994398.

It is an arithmetic number, because the mean of its divisors is an integer number (165194743249).

Almost surely, 2^{1278077731441} is an apocalyptic number.

1278077731441 is the 1130521-st square number.

1278077731441 is the 565261-st centered octagonal number.

It is an amenable number.

1278077731441 is a deficient number, since it is larger than the sum of its proper divisors (208674957800).

1278077731441 is an frugal number, since it uses more digits than its factorization.

1278077731441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323020 (or 161510 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 52.

The spelling of 1278077731441 in words is "one trillion, two hundred seventy-eight billion, seventy-seven million, seven hundred thirty-one thousand, four hundred forty-one".