4244101342320 has 320 divisors, whose sum is σ = 15379655639040. Its totient is φ = 947987948544.

The previous prime is 4244101342297. The next prime is 4244101342333. The reversal of 4244101342320 is 232431014424.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51993859 + ... + 52075421.

It is an arithmetic number, because the mean of its divisors is an integer number (48061423872).

Almost surely, 2^{4244101342320} is an apocalyptic number.

4244101342320 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 4244101342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689827819520).

4244101342320 is an abundant number, since it is smaller than the sum of its proper divisors (11135554296720).

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

4244101342320 is a wasteful number, since it uses less digits than its factorization.

4244101342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82292 (or 82286 counting only the distinct ones).

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

Adding to 4244101342320 its reverse (232431014424), we get a palindrome (4476532356744).

The spelling of 4244101342320 in words is "four trillion, two hundred forty-four billion, one hundred one million, three hundred forty-two thousand, three hundred twenty".