4068142400 has 168 divisors, whose sum is σ = 11810244096. Its totient is φ = 1349683200.

The previous prime is 4068142391. The next prime is 4068142447. The reversal of 4068142400 is 42418604.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 341342 + ... + 353058.

It is an arithmetic number, because the mean of its divisors is an integer number (70299072).

Almost surely, 2^4068142400 is an apocalyptic number.

4068142400 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 4068142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905122048).

4068142400 is an abundant number, since it is smaller than the sum of its proper divisors (7742101696).

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

4068142400 is a wasteful number, since it uses less digits than its factorization.

4068142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 4068142400 is about 63781.9911887360. The cubic root of 4068142400 is about 1596.3644538427.

The spelling of 4068142400 in words is "four billion, sixty-eight million, one hundred forty-two thousand, four hundred".