21014434000 has 120 divisors (see below), whose sum is σ = 59109160968. Its totient is φ = 7204915200.

The previous prime is 21014433997. The next prime is 21014434013. The reversal of 21014434000 is 43441012.

It can be written as a sum of positive squares in 4 ways, for example, as 550559296 + 20463874704 = 23464^2 + 143052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9217 + ... + 205216.

Almost surely, 2^21014434000 is an apocalyptic number.

21014434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21014434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29554580484).

21014434000 is an abundant number, since it is smaller than the sum of its proper divisors (38094726968).

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

21014434000 is a wasteful number, since it uses less digits than its factorization.

21014434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214470 (or 214447 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21014434000 its reverse (43441012), we get a palindrome (21057875012).

The spelling of 21014434000 in words is "twenty-one billion, fourteen million, four hundred thirty-four thousand".