4422332617920 has 1344 divisors, whose sum is σ = 18713452032000. Its totient is φ = 979755098112.

The previous prime is 4422332617883. The next prime is 4422332617939. The reversal of 4422332617920 is 297162332244.

4422332617920 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 3 + 3 + 2 + 617 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2168872261 + ... + 2168874299.

Almost surely, 2^{4422332617920} is an apocalyptic number.

4422332617920 is a gapful number since it is divisible by the number (40) 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 4422332617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356726016000).

4422332617920 is an abundant number, since it is smaller than the sum of its proper divisors (14291119414080).

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

4422332617920 is a wasteful number, since it uses less digits than its factorization.

4422332617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4422332617920 in words is "four trillion, four hundred twenty-two billion, three hundred thirty-two million, six hundred seventeen thousand, nine hundred twenty".