4429319894784 has 216 divisors, whose sum is σ = 13252793928192. Its totient is φ = 1475438976000.

The previous prime is 4429319894777. The next prime is 4429319894789. The reversal of 4429319894784 is 4874989139244.

4429319894784 is a `hidden beast` number, since 4 + 42 + 9 + 31 + 9 + 89 + 478 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4429319894789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94719409 + ... + 94766159.

Almost surely, 2^{4429319894784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4429319894784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626396964096).

4429319894784 is an abundant number, since it is smaller than the sum of its proper divisors (8823474033408).

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

4429319894784 is an equidigital number, since it uses as much as digits as its factorization.

4429319894784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48305 (or 48279 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 4429319894784 in words is "four trillion, four hundred twenty-nine billion, three hundred nineteen million, eight hundred ninety-four thousand, seven hundred eighty-four".