1021426428768 has 288 divisors, whose sum is σ = 2851739654400. Its totient is φ = 319645605888.

The previous prime is 1021426428751. The next prime is 1021426428769. The reversal of 1021426428768 is 8678246241201.

1021426428768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1021426428768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021426428769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2097384621 + ... + 2097385107.

It is an arithmetic number, because the mean of its divisors is an integer number (9901873800).

Almost surely, 2^{1021426428768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021426428768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425869827200).

1021426428768 is an abundant number, since it is smaller than the sum of its proper divisors (1830313225632).

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

1021426428768 is a wasteful number, since it uses less digits than its factorization.

1021426428768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 1021426428768 in words is "one trillion, twenty-one billion, four hundred twenty-six million, four hundred twenty-eight thousand, seven hundred sixty-eight".