230745038940 has 432 divisors, whose sum is σ = 777739330368. Its totient is φ = 55328772096.

The previous prime is 230745038933. The next prime is 230745038989. The reversal of 230745038940 is 49830547032.

230745038940 is a `hidden beast` number, since 2 + 30 + 74 + 503 + 8 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 269246992 + ... + 269247848.

It is an arithmetic number, because the mean of its divisors is an integer number (1800322524).

Almost surely, 2^230745038940 is an apocalyptic number.

230745038940 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 230745038940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388869665184).

230745038940 is an abundant number, since it is smaller than the sum of its proper divisors (546994291428).

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

230745038940 is a wasteful number, since it uses less digits than its factorization.

230745038940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 230745038940 in words is "two hundred thirty billion, seven hundred forty-five million, thirty-eight thousand, nine hundred forty".