4231180800000 has 3120 divisors, whose sum is σ = 20068713270144. Its totient is φ = 862617600000.

The previous prime is 4231180799999. The next prime is 4231180800001. The reversal of 4231180800000 is 80811324.

It is an interprime number because it is at equal distance from previous prime (4231180799999) and next prime (4231180800001).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231180800001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 79833599974 + ... + 79833600026.

Almost surely, 2^{4231180800000} is an apocalyptic number.

4231180800000 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 4231180800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034356635072).

4231180800000 is an abundant number, since it is smaller than the sum of its proper divisors (15837532470144).

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

4231180800000 is an frugal number, since it uses more digits than its factorization.

4231180800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 4231180800000 in words is "four trillion, two hundred thirty-one billion, one hundred eighty million, eight hundred thousand".