1294400012944 has 40 divisors (see below), whose sum is σ = 2658706360920. Its totient is φ = 608376373248.

The previous prime is 1294400012897. The next prime is 1294400012953. The reversal of 1294400012944 is 4492100044921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 799572179344 + 494827833600 = 894188^2 + 703440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1294400012897 and 1294400012906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2721129 + ... + 3161224.

It is an arithmetic number, because the mean of its divisors is an integer number (66467659023).

Almost surely, 2^{1294400012944} is an apocalyptic number.

It is an amenable number.

1294400012944 is an abundant number, since it is smaller than the sum of its proper divisors (1364306347976).

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

1294400012944 is a wasteful number, since it uses less digits than its factorization.

1294400012944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883187 (or 5883181 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 1294400012944 in words is "one trillion, two hundred ninety-four billion, four hundred million, twelve thousand, nine hundred forty-four".