4423121324400 has 240 divisors, whose sum is σ = 14795031985920. Its totient is φ = 1127432908800.

The previous prime is 4423121324399. The next prime is 4423121324407. The reversal of 4423121324400 is 44231213244.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4423121324407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40213480 + ... + 40323320.

It is an arithmetic number, because the mean of its divisors is an integer number (61645966608).

Almost surely, 2^{4423121324400} is an apocalyptic number.

4423121324400 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 4423121324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397515992960).

4423121324400 is an abundant number, since it is smaller than the sum of its proper divisors (10371910661520).

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

4423121324400 is a wasteful number, since it uses less digits than its factorization.

4423121324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111344 (or 111333 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4423121324400 its reverse (44231213244), we get a palindrome (4467352537644).

4423121324400 divided by its reverse (44231213244) gives a square (100 = 10²).

The spelling of 4423121324400 in words is "four trillion, four hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-four thousand, four hundred".