1042712455680 has 1920 divisors, whose sum is σ = 4632903475200. Its totient is φ = 219497693184.

The previous prime is 1042712455669. The next prime is 1042712455781. The reversal of 1042712455680 is 865542172401.

1042712455680 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 7 + 12 + 4 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2904491341 + ... + 2904491699.

It is an arithmetic number, because the mean of its divisors is an integer number (2412970560).

Almost surely, 2^{1042712455680} is an apocalyptic number.

1042712455680 is a gapful number since it is divisible by the number (10) 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 1042712455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316451737600).

1042712455680 is an abundant number, since it is smaller than the sum of its proper divisors (3590191019520).

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

1042712455680 is an equidigital number, since it uses as much as digits as its factorization.

1042712455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1042712455680 in words is "one trillion, forty-two billion, seven hundred twelve million, four hundred fifty-five thousand, six hundred eighty".