4126590468 has 768 divisors, whose sum is σ = 15805440000. Its totient is φ = 914457600.

The previous prime is 4126590443. The next prime is 4126590469. The reversal of 4126590468 is 8640956214.

4126590468 is a `hidden beast` number, since 4 + 12 + 6 + 590 + 46 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4126590469) 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 255 ways as a sum of consecutive naturals, for example, 100648528 + ... + 100648568.

It is an arithmetic number, because the mean of its divisors is an integer number (20580000).

Almost surely, 2^4126590468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126590468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902720000).

4126590468 is an abundant number, since it is smaller than the sum of its proper divisors (11678849532).

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

4126590468 is a wasteful number, since it uses less digits than its factorization.

4126590468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4126590468 is about 64238.5434766387. The cubic root of 4126590468 is about 1603.9732589452.

The spelling of 4126590468 in words is "four billion, one hundred twenty-six million, five hundred ninety thousand, four hundred sixty-eight".