21412004000 has 192 divisors, whose sum is σ = 54342785952. Its totient is φ = 8286208000.

The previous prime is 21412003997. The next prime is 21412004011. The reversal of 21412004000 is 40021412.

It can be written as a sum of positive squares in 16 ways, for example, as 4794731536 + 16617272464 = 69244^2 + 128908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22467524 + ... + 22468476.

Almost surely, 2^21412004000 is an apocalyptic number.

21412004000 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 21412004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27171392976).

21412004000 is an abundant number, since it is smaller than the sum of its proper divisors (32930781952).

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

21412004000 is a wasteful number, since it uses less digits than its factorization.

21412004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21412004000 its reverse (40021412), we get a palindrome (21452025412).

The spelling of 21412004000 in words is "twenty-one billion, four hundred twelve million, four thousand".