323888466240 has 1120 divisors, whose sum is σ = 1275875048448. Its totient is φ = 77635584000.

The previous prime is 323888466211. The next prime is 323888466301. The reversal of 323888466240 is 42664888323.

323888466240 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 8 + 8 + 4 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1789438950 + ... + 1789439130.

Almost surely, 2^323888466240 is an apocalyptic number.

323888466240 is a gapful number since it is divisible by the number (30) 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 323888466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637937524224).

323888466240 is an abundant number, since it is smaller than the sum of its proper divisors (951986582208).

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

323888466240 is a wasteful number, since it uses less digits than its factorization.

323888466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

It can be divided in two parts, 3238884 and 66240, that added together give a square (3305124 = 1818²).

The spelling of 323888466240 in words is "three hundred twenty-three billion, eight hundred eighty-eight million, four hundred sixty-six thousand, two hundred forty".