4430234712420 has 432 divisors, whose sum is σ = 15438284709120. Its totient is φ = 1025637972480.

The previous prime is 4430234712391. The next prime is 4430234712439. The reversal of 4430234712420 is 242174320344.

4430234712420 is a `hidden beast` number, since 4 + 4 + 302 + 347 + 1 + 2 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×4430234712420² (a number of 26 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 324101346 + ... + 324115014.

It is an arithmetic number, because the mean of its divisors is an integer number (35736770160).

Almost surely, 2^{4430234712420} 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 4430234712420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719142354560).

4430234712420 is an abundant number, since it is smaller than the sum of its proper divisors (11008049996700).

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

4430234712420 is a wasteful number, since it uses less digits than its factorization.

4430234712420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14376 (or 14360 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 4430234712420 in words is "four trillion, four hundred thirty billion, two hundred thirty-four million, seven hundred twelve thousand, four hundred twenty".