230285750953440 has 1536 divisors, whose sum is σ = 995643145728000. Its totient is φ = 43297946468352.

The previous prime is 230285750953439. The next prime is 230285750953469. The reversal of 230285750953440 is 44359057582032.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32576846226 + ... + 32576853294.

It is an arithmetic number, because the mean of its divisors is an integer number (648205173000).

Almost surely, 2^{230285750953440} is an apocalyptic number.

230285750953440 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 230285750953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497821572864000).

230285750953440 is an abundant number, since it is smaller than the sum of its proper divisors (765357394774560).

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

230285750953440 is a wasteful number, since it uses less digits than its factorization.

230285750953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 230285750953440 in words is "two hundred thirty trillion, two hundred eighty-five billion, seven hundred fifty million, nine hundred fifty-three thousand, four hundred forty".