4230610771200 has 1728 divisors, whose sum is σ = 16818123571200. Its totient is φ = 925102080000.

The previous prime is 4230610771147. The next prime is 4230610771217. The reversal of 4230610771200 is 21770160324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8832172561 + ... + 8832173039.

It is an arithmetic number, because the mean of its divisors is an integer number (9732710400).

Almost surely, 2^{4230610771200} is an apocalyptic number.

4230610771200 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 4230610771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8409061785600).

4230610771200 is an abundant number, since it is smaller than the sum of its proper divisors (12587512800000).

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

4230610771200 is a wasteful number, since it uses less digits than its factorization.

4230610771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 4230610771200 in words is "four trillion, two hundred thirty billion, six hundred ten million, seven hundred seventy-one thousand, two hundred".