4200026688 has 448 divisors, whose sum is σ = 15157094400. Its totient is φ = 1122232320.

The previous prime is 4200026671. The next prime is 4200026689. The reversal of 4200026688 is 8866200024.

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 (4200026689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5683023 + ... + 5683761.

It is an arithmetic number, because the mean of its divisors is an integer number (33832800).

Almost surely, 2^4200026688 is an apocalyptic number.

4200026688 is a gapful number since it is divisible by the number (48) 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 4200026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578547200).

4200026688 is an abundant number, since it is smaller than the sum of its proper divisors (10957067712).

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

4200026688 is a wasteful number, since it uses less digits than its factorization.

4200026688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4200026688 is about 64807.6128861417. The cubic root of 4200026688 is about 1613.4320634128.

The spelling of 4200026688 in words is "four billion, two hundred million, twenty-six thousand, six hundred eighty-eight".