21334100004 has 144 divisors (see below), whose sum is σ = 64565222400. Its totient is φ = 6074212032.

The previous prime is 21334099999. The next prime is 21334100033. The reversal of 21334100004 is 40000143312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21334100004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1543677 + ... + 1557435.

It is an arithmetic number, because the mean of its divisors is an integer number (448369600).

Almost surely, 2^21334100004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21334100004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32282611200).

21334100004 is an abundant number, since it is smaller than the sum of its proper divisors (43231122396).

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

21334100004 is a wasteful number, since it uses less digits than its factorization.

21334100004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14079 (or 14064 counting only the distinct ones).

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

Adding to 21334100004 its reverse (40000143312), we get a palindrome (61334243316).

The spelling of 21334100004 in words is "twenty-one billion, three hundred thirty-four million, one hundred thousand, four".