1642010102461 has 12 divisors (see below), whose sum is σ = 1680003107796. Its totient is φ = 1604804123520.

The previous prime is 1642010102459. The next prime is 1642010102489.

1642010102461 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 239029076836 + 1402981025625 = 488906^2 + 1184475^2 .

It is not a de Polignac number, because 1642010102461 - 2¹ = 1642010102459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642010102431) 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, 821160 + ... + 1989553.

It is an arithmetic number, because the mean of its divisors is an integer number (140000258983).

Almost surely, 2^{1642010102461} is an apocalyptic number.

It is an amenable number.

1642010102461 is a deficient number, since it is larger than the sum of its proper divisors (37993005335).

1642010102461 is an equidigital number, since it uses as much as digits as its factorization.

1642010102461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810992 (or 2810931 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 1642010 and 102461, that added together give a palindrome (1744471).

The spelling of 1642010102461 in words is "one trillion, six hundred forty-two billion, ten million, one hundred two thousand, four hundred sixty-one".