1021642857456 has 160 divisors (see below), whose sum is σ = 2978914337280. Its totient is φ = 299358630912.

The previous prime is 1021642857449. The next prime is 1021642857497. The reversal of 1021642857456 is 6547582461201.

It is a junction number, because it is equal to n+sod(n) for n = 1021642857399 and 1021642857408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3101110 + ... + 3414698.

It is an arithmetic number, because the mean of its divisors is an integer number (18618214608).

Almost surely, 2^{1021642857456} is an apocalyptic number.

1021642857456 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 1021642857456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489457168640).

1021642857456 is an abundant number, since it is smaller than the sum of its proper divisors (1957271479824).

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

1021642857456 is a wasteful number, since it uses less digits than its factorization.

1021642857456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313863 (or 313857 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 1021642857456 in words is "one trillion, twenty-one billion, six hundred forty-two million, eight hundred fifty-seven thousand, four hundred fifty-six".