230481145440 has 864 divisors, whose sum is σ = 1009590656256. Its totient is φ = 48619284480.

The previous prime is 230481145409. The next prime is 230481145511. The reversal of 230481145440 is 44541184032.

230481145440 is a `hidden beast` number, since 2 + 30 + 4 + 81 + 1 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 230481145395 and 230481145404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45992535 + ... + 45997545.

It is an arithmetic number, because the mean of its divisors is an integer number (1168507704).

Almost surely, 2^230481145440 is an apocalyptic number.

230481145440 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 230481145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504795328128).

230481145440 is an abundant number, since it is smaller than the sum of its proper divisors (779109510816).

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

230481145440 is a wasteful number, since it uses less digits than its factorization.

230481145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 230481145440 in words is "two hundred thirty billion, four hundred eighty-one million, one hundred forty-five thousand, four hundred forty".