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4422055025440 = 2551353109379971
BaseRepresentation
bin100000001011001011100…
…0001001101101100100000
3120122202002121200110010001
41000112113001031230200
51034422332041303230
613223244121545344
7634324434350623
oct100262701155440
916582077613101
104422055025440
111455423863018
125b5035345254
13260cc87b3690
141140586c7dba
157a063c510ca
hex4059704db20

4422055025440 has 384 divisors, whose sum is σ = 11610639532800. Its totient is φ = 1581436846080.

The previous prime is 4422055025417. The next prime is 4422055025449. The reversal of 4422055025440 is 445205502244.

It is a self number, because there is not a number n which added to its sum of digits gives 4422055025440.

It is not an unprimeable number, because it can be changed into a prime (4422055025449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4554124155 + ... + 4554125125.

It is an arithmetic number, because the mean of its divisors is an integer number (30236040450).

Almost surely, 24422055025440 is an apocalyptic number.

4422055025440 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 4422055025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805319766400).

4422055025440 is an abundant number, since it is smaller than the sum of its proper divisors (7188584507360).

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

4422055025440 is a wasteful number, since it uses less digits than its factorization.

4422055025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 37.

It can be divided in two parts, 442205 and 5025440, that added together give a palindrome (5467645).

The spelling of 4422055025440 in words is "four trillion, four hundred twenty-two billion, fifty-five million, twenty-five thousand, four hundred forty".