4271290800 has 360 divisors, whose sum is σ = 16856416656. Its totient is φ = 918650880.

The previous prime is 4271290747. The next prime is 4271290819. The reversal of 4271290800 is 80921724.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 997464 + ... + 1001736.

Almost surely, 2^4271290800 is an apocalyptic number.

4271290800 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 4271290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8428208328).

4271290800 is an abundant number, since it is smaller than the sum of its proper divisors (12585125856).

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

4271290800 is a wasteful number, since it uses less digits than its factorization.

4271290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4271290800 is about 65355.1130363952. The cubic root of 4271290800 is about 1622.5062562921.

The spelling of 4271290800 in words is "four billion, two hundred seventy-one million, two hundred ninety thousand, eight hundred".