389933223120 has 1440 divisors, whose sum is σ = 1636579002240. Its totient is φ = 82841149440.

The previous prime is 389933223107. The next prime is 389933223133. The reversal of 389933223120 is 21322339983.

389933223120 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 3 + 322 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (389933223107) and next prime (389933223133).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4697990599 + ... + 4697990681.

It is an arithmetic number, because the mean of its divisors is an integer number (1136513196).

Almost surely, 2^389933223120 is an apocalyptic number.

389933223120 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 389933223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818289501120).

389933223120 is an abundant number, since it is smaller than the sum of its proper divisors (1246645779120).

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

389933223120 is a wasteful number, since it uses less digits than its factorization.

389933223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 389933223120 in words is "three hundred eighty-nine billion, nine hundred thirty-three million, two hundred twenty-three thousand, one hundred twenty".