230635131949440 has 384 divisors, whose sum is σ = 809577279014400. Its totient is φ = 60493248921600.

The previous prime is 230635131949433. The next prime is 230635131949471. The reversal of 230635131949440 is 44949131536032.

230635131949440 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 3 + 5 + 1 + 3 + 194 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 96736500 + ... + 99091980.

It is an arithmetic number, because the mean of its divisors is an integer number (2108274164100).

Almost surely, 2^{230635131949440} is an apocalyptic number.

230635131949440 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 230635131949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404788639507200).

230635131949440 is an abundant number, since it is smaller than the sum of its proper divisors (578942147064960).

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

230635131949440 is a wasteful number, since it uses less digits than its factorization.

230635131949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355786 (or 2355771 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 230635131949440 in words is "two hundred thirty trillion, six hundred thirty-five billion, one hundred thirty-one million, nine hundred forty-nine thousand, four hundred forty".