2016402840001 has 27 divisors (see below), whose sum is σ = 2232616107043. Its totient is φ = 1819759681520.

The previous prime is 2016402839981. The next prime is 2016402840007. The reversal of 2016402840001 is 1000482046102.

The square root of 2016402840001 is 1420001.

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

It can be written as a sum of positive squares in only one way, i.e., 128317986225 + 1888084853776 = 358215^2 + 1374076^2 .

It is not a de Polignac number, because 2016402840001 - 2²¹ = 2016400742849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2016402840007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2608541451 + ... + 2608542223.

Almost surely, 2^{2016402840001} is an apocalyptic number.

2016402840001 is the 1420001-st square number.

2016402840001 is the 710001-st centered octagonal number.

It is an amenable number.

2016402840001 is a deficient number, since it is larger than the sum of its proper divisors (216213267042).

2016402840001 is an frugal number, since it uses more digits than its factorization.

2016402840001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 2016402840001 its reverse (1000482046102), we get a palindrome (3016884886103).

The spelling of 2016402840001 in words is "two trillion, sixteen billion, four hundred two million, eight hundred forty thousand, one".