1278344845440 has 192 divisors, whose sum is σ = 4753845172440. Its totient is φ = 314669481984.

The previous prime is 1278344845439. The next prime is 1278344845513. The reversal of 1278344845440 is 445484438721.

1278344845440 is a `hidden beast` number, since 1 + 2 + 7 + 83 + 44 + 84 + 5 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1108000443456 + 170344401984 = 1052616^2 + 412728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8461077 + ... + 8610836.

Almost surely, 2^{1278344845440} is an apocalyptic number.

1278344845440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1278344845440 is an abundant number, since it is smaller than the sum of its proper divisors (3475500327000).

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

1278344845440 is a wasteful number, since it uses less digits than its factorization.

1278344845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17071951 (or 17071936 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 1278344845440 in words is "one trillion, two hundred seventy-eight billion, three hundred forty-four million, eight hundred forty-five thousand, four hundred forty".