21142142304 has 48 divisors (see below), whose sum is σ = 56788788672. Its totient is φ = 6883486848.

The previous prime is 21142142267. The next prime is 21142142309. The reversal of 21142142304 is 40324124112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142142309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2556694 + ... + 2564949.

It is an arithmetic number, because the mean of its divisors is an integer number (1183099764).

Almost surely, 2^21142142304 is an apocalyptic number.

21142142304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21142142304 is an abundant number, since it is smaller than the sum of its proper divisors (35646646368).

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

21142142304 is a wasteful number, since it uses less digits than its factorization.

21142142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121699 (or 5121691 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21142142304 its reverse (40324124112), we get a palindrome (61466266416).

The spelling of 21142142304 in words is "twenty-one billion, one hundred forty-two million, one hundred forty-two thousand, three hundred four".