232288019040 has 1536 divisors, whose sum is σ = 1011316948992. Its totient is φ = 43352064000.

The previous prime is 232288019017. The next prime is 232288019083. The reversal of 232288019040 is 40910882232.

It is a self number, because there is not a number n which added to its sum of digits gives 232288019040.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1829039457 + ... + 1829039583.

It is an arithmetic number, because the mean of its divisors is an integer number (658409472).

Almost surely, 2^232288019040 is an apocalyptic number.

232288019040 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 232288019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505658474496).

232288019040 is an abundant number, since it is smaller than the sum of its proper divisors (779028929952).

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

232288019040 is a wasteful number, since it uses less digits than its factorization.

232288019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 232288019040 in words is "two hundred thirty-two billion, two hundred eighty-eight million, nineteen thousand, forty".