21142142004 has 96 divisors (see below), whose sum is σ = 55162598400. Its totient is φ = 6263170560.

The previous prime is 21142141939. The next prime is 21142142009. The reversal of 21142142004 is 40024124112.

It is a super-2 number, since 2×21142142004² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142142009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1196667 + ... + 1214205.

It is an arithmetic number, because the mean of its divisors is an integer number (574610400).

Almost surely, 2^21142142004 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 21142142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27581299200).

21142142004 is an abundant number, since it is smaller than the sum of its proper divisors (34020456396).

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

21142142004 is a wasteful number, since it uses less digits than its factorization.

21142142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17893 (or 17891 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21142142004 its reverse (40024124112), we get a palindrome (61166266116).

The spelling of 21142142004 in words is "twenty-one billion, one hundred forty-two million, one hundred forty-two thousand, four".