4259126016 has 288 divisors, whose sum is σ = 13358929920. Its totient is φ = 1335730176.

The previous prime is 4259126009. The next prime is 4259126017. The reversal of 4259126016 is 6106219524.

4259126016 is a `hidden beast` number, since 4 + 2 + 591 + 2 + 60 + 1 + 6 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4259126017) 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, 11605065 + ... + 11605431.

Almost surely, 2^4259126016 is an apocalyptic number.

4259126016 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 4259126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679464960).

4259126016 is an abundant number, since it is smaller than the sum of its proper divisors (9099803904).

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

4259126016 is a wasteful number, since it uses less digits than its factorization.

4259126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4259126016 is about 65261.9798657687. The cubic root of 4259126016 is about 1620.9644736936.

It can be divided in two parts, 425 and 9126016, that added together give a square (9126441 = 3021²).

The spelling of 4259126016 in words is "four billion, two hundred fifty-nine million, one hundred twenty-six thousand, sixteen".