4247971200 has 864 divisors, whose sum is σ = 17713397520. Its totient is φ = 966451200.

The previous prime is 4247971187. The next prime is 4247971201. The reversal of 4247971200 is 21797424.

4247971200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4247971201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 80150374 + ... + 80150426.

Almost surely, 2^4247971200 is an apocalyptic number.

4247971200 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 4247971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856698760).

4247971200 is an abundant number, since it is smaller than the sum of its proper divisors (13465426320).

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

4247971200 is a wasteful number, since it uses less digits than its factorization.

4247971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4247971200 is about 65176.4620089185. The cubic root of 4247971200 is about 1619.5481135591.

The spelling of 4247971200 in words is "four billion, two hundred forty-seven million, nine hundred seventy-one thousand, two hundred".