30439221120 has 512 divisors, whose sum is σ = 134412825600. Its totient is φ = 6324756480.

The previous prime is 30439221061. The next prime is 30439221151. The reversal of 30439221120 is 2112293403.

It is a happy number.

30439221120 is a `hidden beast` number, since 3 + 0 + 439 + 221 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319122 + ... + 1341998.

It is an arithmetic number, because the mean of its divisors is an integer number (262525050).

Almost surely, 2^30439221120 is an apocalyptic number.

30439221120 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 30439221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67206412800).

30439221120 is an abundant number, since it is smaller than the sum of its proper divisors (103973604480).

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

30439221120 is a wasteful number, since it uses less digits than its factorization.

30439221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22923 (or 22905 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30439221120 in words is "thirty billion, four hundred thirty-nine million, two hundred twenty-one thousand, one hundred twenty".