1428876288001 has 12 divisors (see below), whose sum is σ = 1518606304380. Its totient is φ = 1344174191360.

The previous prime is 1428876287989. The next prime is 1428876288061. The reversal of 1428876288001 is 1008826788241.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 111523270401 + 1317353017600 = 333951^2 + 1147760^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1428876288001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1428876288061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596890 + ... + 1792771.

It is an arithmetic number, because the mean of its divisors is an integer number (126550525365).

Almost surely, 2^{1428876288001} is an apocalyptic number.

It is an amenable number.

1428876288001 is a deficient number, since it is larger than the sum of its proper divisors (89730016379).

1428876288001 is a wasteful number, since it uses less digits than its factorization.

1428876288001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391764 (or 2391747 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 55.

The spelling of 1428876288001 in words is "one trillion, four hundred twenty-eight billion, eight hundred seventy-six million, two hundred eighty-eight thousand, one".