4240148256 has 192 divisors, whose sum is σ = 13323018240. Its totient is φ = 1308130560.

The previous prime is 4240148251. The next prime is 4240148309. The reversal of 4240148256 is 6528410424.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4240148256.

It is not an unprimeable number, because it can be changed into a prime (4240148251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612591 + ... + 619473.

It is an arithmetic number, because the mean of its divisors is an integer number (69390720).

Almost surely, 2^4240148256 is an apocalyptic number.

4240148256 is a gapful number since it is divisible by the number (46) 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 4240148256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661509120).

4240148256 is an abundant number, since it is smaller than the sum of its proper divisors (9082869984).

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

4240148256 is a wasteful number, since it uses less digits than its factorization.

4240148256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4240148256 is about 65116.4207861581. The cubic root of 4240148256 is about 1618.5533312725.

The spelling of 4240148256 in words is "four billion, two hundred forty million, one hundred forty-eight thousand, two hundred fifty-six".