4034130441120 has 576 divisors, whose sum is σ = 15626680078464. Its totient is φ = 976730296320.

The previous prime is 4034130441073. The next prime is 4034130441137. The reversal of 4034130441120 is 211440314304.

4034130441120 is a `hidden beast` number, since 4 + 0 + 341 + 304 + 4 + 1 + 12 + 0 = 666.

4034130441120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 30766419 + ... + 30897261.

It is an arithmetic number, because the mean of its divisors is an integer number (27129652914).

Almost surely, 2^{4034130441120} is an apocalyptic number.

4034130441120 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 4034130441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813340039232).

4034130441120 is an abundant number, since it is smaller than the sum of its proper divisors (11592549637344).

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

4034130441120 is a wasteful number, since it uses less digits than its factorization.

4034130441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130947 (or 130927 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4034130441120 its reverse (211440314304), we get a palindrome (4245570755424).

The spelling of 4034130441120 in words is "four trillion, thirty-four billion, one hundred thirty million, four hundred forty-one thousand, one hundred twenty".