4168266240 has 160 divisors (see below), whose sum is σ = 13368072960. Its totient is φ = 1107984384.

The previous prime is 4168266233. The next prime is 4168266247. The reversal of 4168266240 is 426628614.

It is an interprime number because it is at equal distance from previous prime (4168266233) and next prime (4168266247).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (4168266247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3140457 + ... + 3141783.

It is an arithmetic number, because the mean of its divisors is an integer number (83550456).

Almost surely, 2^4168266240 is an apocalyptic number.

4168266240 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 4168266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684036480).

4168266240 is an abundant number, since it is smaller than the sum of its proper divisors (9199806720).

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

4168266240 is a wasteful number, since it uses less digits than its factorization.

4168266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4168266240 is about 64562.1114896345. Note that the first 3 decimals coincide. The cubic root of 4168266240 is about 1609.3548641412.

The spelling of 4168266240 in words is "four billion, one hundred sixty-eight million, two hundred sixty-six thousand, two hundred forty".