21134410000 has 200 divisors, whose sum is σ = 56130782400. Its totient is φ = 7642560000.

The previous prime is 21134409943. The next prime is 21134410051. The reversal of 21134410000 is 1443112.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25189581 + ... + 25190419.

It is an arithmetic number, because the mean of its divisors is an integer number (280653912).

Almost surely, 2^21134410000 is an apocalyptic number.

21134410000 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 21134410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28065391200).

21134410000 is an abundant number, since it is smaller than the sum of its proper divisors (34996372400).

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

21134410000 is a wasteful number, since it uses less digits than its factorization.

21134410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21134410000 its reverse (1443112), we get a palindrome (21135853112).

It can be divided in two parts, 21134 and 410000, that added together give a palindrome (431134).

The spelling of 21134410000 in words is "twenty-one billion, one hundred thirty-four million, four hundred ten thousand".