230041121140032 has 224 divisors, whose sum is σ = 649662110254080. Its totient is φ = 71586955714560.

The previous prime is 230041121140031. The next prime is 230041121140133.

230041121140032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230041121140032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230041121139984 and 230041121140011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230041121140031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969214269 + ... + 969451587.

It is an arithmetic number, because the mean of its divisors is an integer number (2900277277920).

Almost surely, 2^{230041121140032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230041121140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324831055127040).

230041121140032 is an abundant number, since it is smaller than the sum of its proper divisors (419620989114048).

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

230041121140032 is a wasteful number, since it uses less digits than its factorization.

230041121140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239749 (or 239739 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 230041121140032 in words is "two hundred thirty trillion, forty-one billion, one hundred twenty-one million, one hundred forty thousand, thirty-two".