230875403040 has 576 divisors, whose sum is σ = 822612091392. Its totient is φ = 58929561600.

The previous prime is 230875402991. The next prime is 230875403051. The reversal of 230875403040 is 40304578032.

It is a happy number.

230875403040 is a `hidden beast` number, since 2 + 3 + 0 + 87 + 540 + 30 + 4 + 0 = 666.

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 = 230875402986 and 230875403004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 742364485 + ... + 742364795.

It is an arithmetic number, because the mean of its divisors is an integer number (1428145992).

Almost surely, 2^230875403040 is an apocalyptic number.

230875403040 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 230875403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411306045696).

230875403040 is an abundant number, since it is smaller than the sum of its proper divisors (591736688352).

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

230875403040 is a wasteful number, since it uses less digits than its factorization.

230875403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 230875403040 in words is "two hundred thirty billion, eight hundred seventy-five million, four hundred three thousand, forty".