230061565440 has 800 divisors, whose sum is σ = 946494331200. Its totient is φ = 52319748096.

The previous prime is 230061565429. The next prime is 230061565501. The reversal of 230061565440 is 44565160032.

230061565440 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 61 + 56 + 544 + 0 = 666.

230061565440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230061565395 and 230061565404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 512386336 + ... + 512386784.

It is an arithmetic number, because the mean of its divisors is an integer number (1183117914).

Almost surely, 2^230061565440 is an apocalyptic number.

230061565440 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 230061565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473247165600).

230061565440 is an abundant number, since it is smaller than the sum of its proper divisors (716432765760).

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

230061565440 is an equidigital number, since it uses as much as digits as its factorization.

230061565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 230061565440 in words is "two hundred thirty billion, sixty-one million, five hundred sixty-five thousand, four hundred forty".