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4440341222240 = 2557112917896947
BaseRepresentation
bin100000010011101100011…
…1101100001001101100000
3120201111022000101111100012
41000213120331201031200
51040222304323102430
613235510430344052
7635542536433010
oct100473075411540
916644260344305
104440341222240
111462157951360
125b869935b028
132629510bb081
14114cb1133c40
157a7842dd695
hex409d8f61360

4440341222240 has 384 divisors, whose sum is σ = 13539328588800. Its totient is φ = 1335339048960.

The previous prime is 4440341222237. The next prime is 4440341222257. The reversal of 4440341222240 is 422221430444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4440341222197 and 4440341222206.

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, 639170447 + ... + 639177393.

It is an arithmetic number, because the mean of its divisors is an integer number (35258668200).

Almost surely, 24440341222240 is an apocalyptic number.

4440341222240 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 4440341222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769664294400).

4440341222240 is an abundant number, since it is smaller than the sum of its proper divisors (9098987366560).

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

4440341222240 is a wasteful number, since it uses less digits than its factorization.

4440341222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4440341222240 its reverse (422221430444), we get a palindrome (4862562652684).

The spelling of 4440341222240 in words is "four trillion, four hundred forty billion, three hundred forty-one million, two hundred twenty-two thousand, two hundred forty".