230311444110240 has 192 divisors, whose sum is σ = 728097773985792. Its totient is φ = 61194895180800.

The previous prime is 230311444110227. The next prime is 230311444110301. The reversal of 230311444110240 is 42011444113032.

It is a happy number.

It is a super-2 number, since 2×230311444110240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230311444110198 and 230311444110207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128694545 + ... + 2128802735.

It is an arithmetic number, because the mean of its divisors is an integer number (3792175906176).

Almost surely, 2^{230311444110240} is an apocalyptic number.

230311444110240 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 230311444110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364048886992896).

230311444110240 is an abundant number, since it is smaller than the sum of its proper divisors (497786329875552).

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

230311444110240 is a wasteful number, since it uses less digits than its factorization.

230311444110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124163 (or 124155 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 230311444110240 its reverse (42011444113032), we get a palindrome (272322888223272).

The spelling of 230311444110240 in words is "two hundred thirty trillion, three hundred eleven billion, four hundred forty-four million, one hundred ten thousand, two hundred forty".