1288442864340 has 72 divisors (see below), whose sum is σ = 3909679530120. Its totient is φ = 343461437184.

The previous prime is 1288442864339. The next prime is 1288442864347. The reversal of 1288442864340 is 434682448821.

It is a happy number.

1288442864340 is a `hidden beast` number, since 1 + 2 + 88 + 442 + 86 + 4 + 3 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 390378564 + 1288052485776 = 19758^2 + 1134924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288442864347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781239 + ... + 1785278.

It is an arithmetic number, because the mean of its divisors is an integer number (54301104585).

Almost surely, 2^{1288442864340} is an apocalyptic number.

1288442864340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288442864340 is an abundant number, since it is smaller than the sum of its proper divisors (2621236665780).

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

1288442864340 is a wasteful number, since it uses less digits than its factorization.

1288442864340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569321 (or 2569316 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 1288442864340 in words is "one trillion, two hundred eighty-eight billion, four hundred forty-two million, eight hundred sixty-four thousand, three hundred forty".