4419433221120 has 528 divisors, whose sum is σ = 16141274604000. Its totient is φ = 1114958462976.

The previous prime is 4419433221113. The next prime is 4419433221143. The reversal of 4419433221120 is 211223349144.

4419433221120 is a `hidden beast` number, since 4 + 4 + 1 + 9 + 433 + 2 + 211 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725803036 + ... + 725809124.

Almost surely, 2^{4419433221120} is an apocalyptic number.

4419433221120 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 4419433221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070637302000).

4419433221120 is an abundant number, since it is smaller than the sum of its proper divisors (11721841382880).

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

4419433221120 is a wasteful number, since it uses less digits than its factorization.

4419433221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4419433221120 in words is "four trillion, four hundred nineteen billion, four hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty".