4334222430720 has 960 divisors, whose sum is σ = 18572080310784. Its totient is φ = 909650165760.

The previous prime is 4334222430709. The next prime is 4334222430821. The reversal of 4334222430720 is 270342224334.

4334222430720 is a `hidden beast` number, since 4 + 3 + 342 + 2 + 2 + 4 + 307 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 404646165 + ... + 404656875.

Almost surely, 2^{4334222430720} is an apocalyptic number.

4334222430720 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 4334222430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286040155392).

4334222430720 is an abundant number, since it is smaller than the sum of its proper divisors (14237857880064).

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

4334222430720 is a wasteful number, since it uses less digits than its factorization.

4334222430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10953 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The spelling of 4334222430720 in words is "four trillion, three hundred thirty-four billion, two hundred twenty-two million, four hundred thirty thousand, seven hundred twenty".