4280739840 has 480 divisors, whose sum is σ = 16565388840. Its totient is φ = 1051066368.

The previous prime is 4280739817. The next prime is 4280739847. The reversal of 4280739840 is 489370824.

It can be written as a sum of positive squares in 4 ways, for example, as 3025880064 + 1254859776 = 55008^2 + 35424^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×4280739840³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280739847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10782522 + ... + 10782918.

Almost surely, 2^4280739840 is an apocalyptic number.

4280739840 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 4280739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282694420).

4280739840 is an abundant number, since it is smaller than the sum of its proper divisors (12284649000).

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

4280739840 is a wasteful number, since it uses less digits than its factorization.

4280739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4280739840 is about 65427.3630830404. The cubic root of 4280739840 is about 1623.7018226776.

The spelling of 4280739840 in words is "four billion, two hundred eighty million, seven hundred thirty-nine thousand, eight hundred forty".