21142034320 has 80 divisors (see below), whose sum is σ = 53647816320. Its totient is φ = 7684582400.

The previous prime is 21142034311. The next prime is 21142034327. The reversal of 21142034320 is 2343024112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21142034291 and 21142034300.

It is not an unprimeable number, because it can be changed into a prime (21142034327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2804316 + ... + 2811844.

It is an arithmetic number, because the mean of its divisors is an integer number (670597704).

Almost surely, 2^21142034320 is an apocalyptic number.

21142034320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142034320 is an abundant number, since it is smaller than the sum of its proper divisors (32505782000).

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

21142034320 is a wasteful number, since it uses less digits than its factorization.

21142034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21142034320 its reverse (2343024112), we get a palindrome (23485058432).

The spelling of 21142034320 in words is "twenty-one billion, one hundred forty-two million, thirty-four thousand, three hundred twenty".