4322121410000 has 400 divisors, whose sum is σ = 10860783436800. Its totient is φ = 1664796672000.

The previous prime is 4322121409999. The next prime is 4322121410003. The reversal of 4322121410000 is 141212234.

4322121410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4322121410003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12243969824 + ... + 12243970176.

It is an arithmetic number, because the mean of its divisors is an integer number (27151958592).

Almost surely, 2^{4322121410000} is an apocalyptic number.

4322121410000 is a gapful number since it is divisible by the number (40) 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 4322121410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430391718400).

4322121410000 is an abundant number, since it is smaller than the sum of its proper divisors (6538662026800).

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

4322121410000 is a wasteful number, since it uses less digits than its factorization.

4322121410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 4322121410000 its reverse (141212234), we get a palindrome (4322262622234).

The spelling of 4322121410000 in words is "four trillion, three hundred twenty-two billion, one hundred twenty-one million, four hundred ten thousand".