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4412044440 = 2332541337887
BaseRepresentation
bin1000001101111101…
…00111010010011000
3102101111001002011100
410012332213102120
533013440410230
62005445231400
7214222521216
oct40676472230
912344032140
104412044440
111964536321
12a31702560
135540bc2ab
142dbd71cb6
151ac517660
hex106fa7498

4412044440 has 192 divisors, whose sum is σ = 14749076160. Its totient is φ = 1143152640.

The previous prime is 4412044423. The next prime is 4412044457. The reversal of 4412044440 is 444402144.

It is an interprime number because it is at equal distance from previous prime (4412044423) and next prime (4412044457).

It is a super-2 number, since 2×44120444402 = 38932272281069827200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4973677 + ... + 4974563.

It is an arithmetic number, because the mean of its divisors is an integer number (76818105).

Almost surely, 24412044440 is an apocalyptic number.

4412044440 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 4412044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374538080).

4412044440 is an abundant number, since it is smaller than the sum of its proper divisors (10337031720).

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

4412044440 is a wasteful number, since it uses less digits than its factorization.

4412044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4412044440 is about 66423.2221440665. Note that the first 3 decimals coincide. The cubic root of 4412044440 is about 1640.1363707739.

Adding to 4412044440 its reverse (444402144), we get a palindrome (4856446584).

The spelling of 4412044440 in words is "four billion, four hundred twelve million, forty-four thousand, four hundred forty".