4153714240 has 112 divisors (see below), whose sum is σ = 10686135600. Its totient is φ = 1528750080.

The previous prime is 4153714177. The next prime is 4153714247. The reversal of 4153714240 is 424173514.

It can be written as a sum of positive squares in 8 ways, for example, as 54641664 + 4099072576 = 7392^2 + 64024^2 .

It is not an unprimeable number, because it can be changed into a prime (4153714247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450410 + ... + 1453270.

It is an arithmetic number, because the mean of its divisors is an integer number (95411925).

Almost surely, 2^4153714240 is an apocalyptic number.

4153714240 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 4153714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343067800).

4153714240 is an abundant number, since it is smaller than the sum of its proper divisors (6532421360).

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

4153714240 is a wasteful number, since it uses less digits than its factorization.

4153714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 4153714240 is about 64449.3152795280. The cubic root of 4153714240 is about 1607.4798528854.

Adding to 4153714240 its reverse (424173514), we get a palindrome (4577887754).

The spelling of 4153714240 in words is "four billion, one hundred fifty-three million, seven hundred fourteen thousand, two hundred forty".