1428115821444 has 135 divisors (see below), whose sum is σ = 4043442421557. Its totient is φ = 439334210016.

The previous prime is 1428115821401. The next prime is 1428115821467. The reversal of 1428115821444 is 4441285118241.

The square root of 1428115821444 is 1195038.

It is a perfect power (a square), and thus also a powerful number.

1428115821444 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 11 + 582 + 14 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211259736900 + 1216856084544 = 459630^2 + 1103112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1428115821444.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 279636339 + ... + 279641445.

Almost surely, 2^{1428115821444} is an apocalyptic number.

1428115821444 is the 1195038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428115821444

1428115821444 is an abundant number, since it is smaller than the sum of its proper divisors (2615326600113).

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

1428115821444 is an frugal number, since it uses more digits than its factorization.

1428115821444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 5125 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The spelling of 1428115821444 in words is "one trillion, four hundred twenty-eight billion, one hundred fifteen million, eight hundred twenty-one thousand, four hundred forty-four".