4201321344 has 192 divisors, whose sum is σ = 12914832000. Its totient is φ = 1205867520.

The previous prime is 4201321339. The next prime is 4201321361. The reversal of 4201321344 is 4431231024.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4201321344² = 35302202071099932672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880437 + ... + 885195.

It is an arithmetic number, because the mean of its divisors is an integer number (67264750).

Almost surely, 2^4201321344 is an apocalyptic number.

4201321344 is a gapful number since it is divisible by the number (44) 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 4201321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457416000).

4201321344 is an abundant number, since it is smaller than the sum of its proper divisors (8713510656).

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

4201321344 is a wasteful number, since it uses less digits than its factorization.

4201321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4201321344 is about 64817.6005726840. The cubic root of 4201321344 is about 1613.5978262413.

Adding to 4201321344 its reverse (4431231024), we get a palindrome (8632552368).

The spelling of 4201321344 in words is "four billion, two hundred one million, three hundred twenty-one thousand, three hundred forty-four".