230577610532040 has 192 divisors, whose sum is σ = 753378397200000. Its totient is φ = 61159255483392.

The previous prime is 230577610531967. The next prime is 230577610532063. The reversal of 230577610532040 is 40235016775032.

230577610532040 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 7 + 7 + 610 + 5 + 3 + 20 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229391271 + ... + 230394249.

It is an arithmetic number, because the mean of its divisors is an integer number (3923845818750).

Almost surely, 2^{230577610532040} is an apocalyptic number.

230577610532040 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 230577610532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376689198600000).

230577610532040 is an abundant number, since it is smaller than the sum of its proper divisors (522800786667960).

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

230577610532040 is a wasteful number, since it uses less digits than its factorization.

230577610532040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006404 (or 1006397 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 230577610532040 in words is "two hundred thirty trillion, five hundred seventy-seven billion, six hundred ten million, five hundred thirty-two thousand, forty".