4068125424 has 240 divisors, whose sum is σ = 13069877760. Its totient is φ = 1201495680.

The previous prime is 4068125419. The next prime is 4068125447. The reversal of 4068125424 is 4245218604.

4068125424 is a `hidden beast` number, since 40 + 68 + 12 + 542 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8786217 + ... + 8786679.

It is an arithmetic number, because the mean of its divisors is an integer number (54457824).

Almost surely, 2^4068125424 is an apocalyptic number.

4068125424 is a gapful number since it is divisible by the number (44) 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 4068125424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534938880).

4068125424 is an abundant number, since it is smaller than the sum of its proper divisors (9001752336).

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

4068125424 is a wasteful number, since it uses less digits than its factorization.

4068125424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 522 counting only the distinct ones).

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

The square root of 4068125424 is about 63781.8581102809. The cubic root of 4068125424 is about 1596.3622333435.

The spelling of 4068125424 in words is "four billion, sixty-eight million, one hundred twenty-five thousand, four hundred twenty-four".