1420747226784 has 144 divisors (see below), whose sum is σ = 4109129826984. Its totient is φ = 465518592000.

The previous prime is 1420747226741. The next prime is 1420747226813. The reversal of 1420747226784 is 4876227470241.

1420747226784 is a `hidden beast` number, since 1 + 420 + 74 + 72 + 2 + 6 + 7 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1415766819600 + 4980407184 = 1189860^2 + 70572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1420747226784.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28101112 + ... + 28151624.

Almost surely, 2^{1420747226784} 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 1420747226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054564913492).

1420747226784 is an abundant number, since it is smaller than the sum of its proper divisors (2688382600200).

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

1420747226784 is a wasteful number, since it uses less digits than its factorization.

1420747226784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52191 (or 52180 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 1420747226784 in words is "one trillion, four hundred twenty billion, seven hundred forty-seven million, two hundred twenty-six thousand, seven hundred eighty-four".