1020840013667 has 16 divisors (see below), whose sum is σ = 1042655090400. Its totient is φ = 999178936320.

The previous prime is 1020840013621. The next prime is 1020840013681. The reversal of 1020840013667 is 7663100480201.

It is a cyclic number.

It is not a de Polignac number, because 1020840013667 - 2¹⁶ = 1020839948131 is a prime.

It is a super-2 number, since 2×1020840013667² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020840013667.

It is not an unprimeable number, because it can be changed into a prime (1020840043667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36210317 + ... + 36238497.

It is an arithmetic number, because the mean of its divisors is an integer number (65165943150).

Almost surely, 2^{1020840013667} is an apocalyptic number.

1020840013667 is a deficient number, since it is larger than the sum of its proper divisors (21815076733).

1020840013667 is a wasteful number, since it uses less digits than its factorization.

1020840013667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30886.

The product of its (nonzero) digits is 48384, while the sum is 38.

Adding to 1020840013667 its reverse (7663100480201), we get a palindrome (8683940493868).

The spelling of 1020840013667 in words is "one trillion, twenty billion, eight hundred forty million, thirteen thousand, six hundred sixty-seven".