21444126432 has 48 divisors (see below), whose sum is σ = 56365383312. Its totient is φ = 7138575360.

The previous prime is 21444126401. The next prime is 21444126433. The reversal of 21444126432 is 23462144412.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21444126393 and 21444126402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444126433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74869 + ... + 220212.

It is an arithmetic number, because the mean of its divisors is an integer number (1174278819).

Almost surely, 2^21444126432 is an apocalyptic number.

It is an amenable number.

21444126432 is an abundant number, since it is smaller than the sum of its proper divisors (34921256880).

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

21444126432 is a wasteful number, since it uses less digits than its factorization.

21444126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295851 (or 295843 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The spelling of 21444126432 in words is "twenty-one billion, four hundred forty-four million, one hundred twenty-six thousand, four hundred thirty-two".