1290965941136 has 40 divisors (see below), whose sum is σ = 2655881345304. Its totient is φ = 605792337920.

The previous prime is 1290965941129. The next prime is 1290965941201. The reversal of 1290965941136 is 6311495690921.

It can be written as a sum of positive squares in 4 ways, for example, as 290477881600 + 1000488059536 = 538960^2 + 1000244^2 .

It is a super-2 number, since 2×1290965941136² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6626645 + ... + 6818676.

Almost surely, 2^{1290965941136} is an apocalyptic number.

1290965941136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1290965941136 is an abundant number, since it is smaller than the sum of its proper divisors (1364915404168).

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

1290965941136 is a wasteful number, since it uses less digits than its factorization.

1290965941136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13445699 (or 13445693 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 56.

The spelling of 1290965941136 in words is "one trillion, two hundred ninety billion, nine hundred sixty-five million, nine hundred forty-one thousand, one hundred thirty-six".