1042688062752 has 96 divisors (see below), whose sum is σ = 3134046246912. Its totient is φ = 297341155584.

The previous prime is 1042688062751. The next prime is 1042688062811. The reversal of 1042688062752 is 2572608862401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1042688062695 and 1042688062704.

It is not an unprimeable number, because it can be changed into a prime (1042688062751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131928 + ... + 1834839.

It is an arithmetic number, because the mean of its divisors is an integer number (32646315072).

Almost surely, 2^{1042688062752} is an apocalyptic number.

1042688062752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1042688062752 is an abundant number, since it is smaller than the sum of its proper divisors (2091358184160).

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

1042688062752 is a wasteful number, since it uses less digits than its factorization.

1042688062752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967310 (or 2967302 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 1042688062752 in words is "one trillion, forty-two billion, six hundred eighty-eight million, sixty-two thousand, seven hundred fifty-two".