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4425012104040 = 233251126319132221
BaseRepresentation
bin100000001100100011101…
…0001100100101101101000
3120200000201200221121100200
41000121013101210231220
51034444411044312130
613224453354232200
7634460632200213
oct100310721445550
916600650847320
104425012104040
111456700a77a30
125b571b725660
1326137a31a728
1411425931a77a
157a188667760
hex40647464b68

4425012104040 has 384 divisors, whose sum is σ = 15763658676480. Its totient is φ = 1067611852800.

The previous prime is 4425012104039. The next prime is 4425012104077. The reversal of 4425012104040 is 404012105244.

4425012104040 is a `hidden beast` number, since 4 + 4 + 250 + 1 + 2 + 1 + 0 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4425012103995 and 4425012104013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1992350130 + ... + 1992352350.

It is an arithmetic number, because the mean of its divisors is an integer number (41051194470).

Almost surely, 24425012104040 is an apocalyptic number.

4425012104040 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 4425012104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881829338240).

4425012104040 is an abundant number, since it is smaller than the sum of its proper divisors (11338646572440).

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

4425012104040 is a wasteful number, since it uses less digits than its factorization.

4425012104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 4425012104040 its reverse (404012105244), we get a palindrome (4829024209284).

The spelling of 4425012104040 in words is "four trillion, four hundred twenty-five billion, twelve million, one hundred four thousand, forty".