1042664616656 has 80 divisors (see below), whose sum is σ = 2207468712960. Its totient is φ = 474179435520.

The previous prime is 1042664616647. The next prime is 1042664616731. The reversal of 1042664616656 is 6566164662401.

It is a junction number, because it is equal to n+sod(n) for n = 1042664616598 and 1042664616607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26902700 + ... + 26941428.

It is an arithmetic number, because the mean of its divisors is an integer number (27593358912).

Almost surely, 2^{1042664616656} is an apocalyptic number.

1042664616656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042664616656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103734356480).

1042664616656 is an abundant number, since it is smaller than the sum of its proper divisors (1164804096304).

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

1042664616656 is a wasteful number, since it uses less digits than its factorization.

1042664616656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644 (or 40638 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 53.

The spelling of 1042664616656 in words is "one trillion, forty-two billion, six hundred sixty-four million, six hundred sixteen thousand, six hundred fifty-six".