4271212800 has 324 divisors, whose sum is σ = 15803298420. Its totient is φ = 1099284480.

The previous prime is 4271212793. The next prime is 4271212801. The reversal of 4271212800 is 82121724.

It can be written as a sum of positive squares in 6 ways, for example, as 115605504 + 4155607296 = 10752^2 + 64464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4271212801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1669122 + ... + 1671678.

Almost surely, 2^4271212800 is an apocalyptic number.

4271212800 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 4271212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901649210).

4271212800 is an abundant number, since it is smaller than the sum of its proper divisors (11532085620).

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

4271212800 is a wasteful number, since it uses less digits than its factorization.

4271212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4271212800 is about 65354.5162938262. The cubic root of 4271212800 is about 1622.4963797884.

The spelling of 4271212800 in words is "four billion, two hundred seventy-one million, two hundred twelve thousand, eight hundred".