1428224016384 has 816 divisors, whose sum is σ = 4836633145344. Its totient is φ = 417241497600.

The previous prime is 1428224016371. The next prime is 1428224016437. The reversal of 1428224016384 is 4836104228241.

1428224016384 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 2 + 2 + 4 + 0 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×1428224016384³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5430509437 + ... + 5430509699.

Almost surely, 2^{1428224016384} 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 1428224016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418316572672).

1428224016384 is an abundant number, since it is smaller than the sum of its proper divisors (3408409128960).

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

1428224016384 is an frugal number, since it uses more digits than its factorization.

1428224016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1428224016384 in words is "one trillion, four hundred twenty-eight billion, two hundred twenty-four million, sixteen thousand, three hundred eighty-four".