21414812000 has 96 divisors (see below), whose sum is σ = 52867642464. Its totient is φ = 8524992000.

The previous prime is 21414811987. The next prime is 21414812051. The reversal of 21414812000 is 21841412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831314 + ... + 856686.

It is an arithmetic number, because the mean of its divisors is an integer number (550704609).

Almost surely, 2^21414812000 is an apocalyptic number.

21414812000 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 21414812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26433821232).

21414812000 is an abundant number, since it is smaller than the sum of its proper divisors (31452830464).

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

21414812000 is a wasteful number, since it uses less digits than its factorization.

21414812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25609 (or 25591 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 21414812000 in words is "twenty-one billion, four hundred fourteen million, eight hundred twelve thousand".