4134420120330 has 192 divisors, whose sum is σ = 11208468555648. Its totient is φ = 1056492011520.

The previous prime is 4134420120319. The next prime is 4134420120353. The reversal of 4134420120330 is 330210244314.

4134420120330 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 420 + 1 + 203 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4134420120294 and 4134420120303.

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, 85764714 + ... + 85812906.

It is an arithmetic number, because the mean of its divisors is an integer number (58377440394).

Almost surely, 2^{4134420120330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134420120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604234277824).

4134420120330 is an abundant number, since it is smaller than the sum of its proper divisors (7074048435318).

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

4134420120330 is a wasteful number, since it uses less digits than its factorization.

4134420120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48661 (or 48658 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4134420120330 its reverse (330210244314), we get a palindrome (4464630364644).

The spelling of 4134420120330 in words is "four trillion, one hundred thirty-four billion, four hundred twenty million, one hundred twenty thousand, three hundred thirty".