2320414120000 has 280 divisors, whose sum is σ = 5962586830200. Its totient is φ = 894609408000.

The previous prime is 2320414119901. The next prime is 2320414120001. The reversal of 2320414120000 is 214140232.

It can be written as a sum of positive squares in 20 ways, for example, as 1273033810944 + 1047380309056 = 1128288^2 + 1023416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2320414120000.

It is not an unprimeable number, because it can be changed into a prime (2320414120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 850278636 + ... + 850281364.

It is an arithmetic number, because the mean of its divisors is an integer number (21294952965).

Almost surely, 2^{2320414120000} is an apocalyptic number.

2320414120000 is a gapful number since it is divisible by the number (20) 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 2320414120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981293415100).

2320414120000 is an abundant number, since it is smaller than the sum of its proper divisors (3642172710200).

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

2320414120000 is an equidigital number, since it uses as much as digits as its factorization.

2320414120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2320414120000 its reverse (214140232), we get a palindrome (2320628260232).

The spelling of 2320414120000 in words is "two trillion, three hundred twenty billion, four hundred fourteen million, one hundred twenty thousand".