21714333400 has 96 divisors (see below), whose sum is σ = 51105635280. Its totient is φ = 8579520000.

The previous prime is 21714333349. The next prime is 21714333467. The reversal of 21714333400 is 433341712.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10927207 + ... + 10929193.

Almost surely, 2^21714333400 is an apocalyptic number.

21714333400 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 21714333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552817640).

21714333400 is an abundant number, since it is smaller than the sum of its proper divisors (29391301880).

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

21714333400 is a wasteful number, since it uses less digits than its factorization.

21714333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 21714333400 in words is "twenty-one billion, seven hundred fourteen million, three hundred thirty-three thousand, four hundred".