4240117728 has 288 divisors, whose sum is σ = 15250540032. Its totient is φ = 1085414400.

The previous prime is 4240117703. The next prime is 4240117733. The reversal of 4240117728 is 8277110424.

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 = 4240117692 and 4240117701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573150 + ... + 1575842.

It is an arithmetic number, because the mean of its divisors is an integer number (52953264).

Almost surely, 2^4240117728 is an apocalyptic number.

4240117728 is a gapful number since it is divisible by the number (48) 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 4240117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625270016).

4240117728 is an abundant number, since it is smaller than the sum of its proper divisors (11010422304).

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

4240117728 is a wasteful number, since it uses less digits than its factorization.

4240117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4240117728 is about 65116.1863748177. The cubic root of 4240117728 is about 1618.5494468710.

The spelling of 4240117728 in words is "four billion, two hundred forty million, one hundred seventeen thousand, seven hundred twenty-eight".