21433104000 has 768 divisors, whose sum is σ = 96014280960. Its totient is φ = 4451328000.

The previous prime is 21433103999. The next prime is 21433104023. The reversal of 21433104000 is 40133412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087034 + ... + 11088966.

It is an arithmetic number, because the mean of its divisors is an integer number (125018595).

Almost surely, 2^21433104000 is an apocalyptic number.

21433104000 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 21433104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48007140480).

21433104000 is an abundant number, since it is smaller than the sum of its proper divisors (74581176960).

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

21433104000 is a wasteful number, since it uses less digits than its factorization.

21433104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21433104000 its reverse (40133412), we get a palindrome (21473237412).

The spelling of 21433104000 in words is "twenty-one billion, four hundred thirty-three million, one hundred four thousand".