21411000000 has 784 divisors, whose sum is σ = 86120772640. Its totient is φ = 5184000000.

The previous prime is 21410999971. The next prime is 21411000001. The reversal of 21411000000 is 11412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 21411000000 = 850³ + 2750³ = 1200³ + 2700³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21411000001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 350999970 + ... + 351000030.

Almost surely, 2^21411000000 is an apocalyptic number.

21411000000 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 21411000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43060386320).

21411000000 is an abundant number, since it is smaller than the sum of its proper divisors (64709772640).

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

21411000000 is an frugal number, since it uses more digits than its factorization.

21411000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21411000000 its reverse (11412), we get a palindrome (21411011412).

The spelling of 21411000000 in words is "twenty-one billion, four hundred eleven million", and thus it is an aban number.