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4422220055040 = 293531157193613
BaseRepresentation
bin100000001011010000011…
…0110110000001000000000
3120122202112010012211011110
41000112200312300020000
51034423201313230130
613223312335043320
7634331510155524
oct100264066601000
916582463184143
104422220055040
1114554a8a30217
125b5080670540
13261023a45528
141140725a5d84
157a07349dab0
hex405a0db0200

4422220055040 has 640 divisors, whose sum is σ = 14786454177792. Its totient is φ = 1126233538560.

The previous prime is 4422220054991. The next prime is 4422220055047. The reversal of 4422220055040 is 405500222244.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 4422220054989 and 4422220055007.

It is not an unprimeable number, because it can be changed into a prime (4422220055047) 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, 7214061774 + ... + 7214062386.

Almost surely, 24422220055040 is an apocalyptic number.

4422220055040 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 4422220055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393227088896).

4422220055040 is an abundant number, since it is smaller than the sum of its proper divisors (10364234122752).

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

4422220055040 is a wasteful number, since it uses less digits than its factorization.

4422220055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 4422220055040 its reverse (405500222244), we get a palindrome (4827720277284).

The spelling of 4422220055040 in words is "four trillion, four hundred twenty-two billion, two hundred twenty million, fifty-five thousand, forty".