4239095040 has 288 divisors, whose sum is σ = 15699882240. Its totient is φ = 1081073664.

The previous prime is 4239095033. The next prime is 4239095051. The reversal of 4239095040 is 405909324.

4239095040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4239094986 and 4239095004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792214 + ... + 797546.

It is an arithmetic number, because the mean of its divisors is an integer number (54513480).

Almost surely, 2^4239095040 is an apocalyptic number.

4239095040 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 4239095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849941120).

4239095040 is an abundant number, since it is smaller than the sum of its proper divisors (11460787200).

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

4239095040 is a wasteful number, since it uses less digits than its factorization.

4239095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4239095040 is about 65108.3331072145. Note that the first 3 decimals coincide. The cubic root of 4239095040 is about 1618.4193086452.

The spelling of 4239095040 in words is "four billion, two hundred thirty-nine million, ninety-five thousand, forty".