4434320321200 has 480 divisors, whose sum is σ = 13640296108032. Its totient is φ = 1345099392000.

The previous prime is 4434320321191. The next prime is 4434320321201. The reversal of 4434320321200 is 21230234344.

It is a super-2 number, since 2×4434320321200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4434320321201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 374799285 + ... + 374811115.

Almost surely, 2^{4434320321200} is an apocalyptic number.

4434320321200 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 4434320321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6820148054016).

4434320321200 is an abundant number, since it is smaller than the sum of its proper divisors (9205975786832).

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

4434320321200 is a wasteful number, since it uses less digits than its factorization.

4434320321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12193 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4434320321200 its reverse (21230234344), we get a palindrome (4455550555544).

The spelling of 4434320321200 in words is "four trillion, four hundred thirty-four billion, three hundred twenty million, three hundred twenty-one thousand, two hundred".