4034130314304 has 224 divisors, whose sum is σ = 10891235520000. Its totient is φ = 1317650374656.

The previous prime is 4034130314237. The next prime is 4034130314309.

4034130314304 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4034130314309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745264302 + ... + 745269714.

Almost surely, 2^{4034130314304} 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 4034130314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445617760000).

4034130314304 is an abundant number, since it is smaller than the sum of its proper divisors (6857105205696).

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

4034130314304 is a wasteful number, since it uses less digits than its factorization.

4034130314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4034130 and 314304, that added together give a palindrome (4348434).

The spelling of 4034130314304 in words is "four trillion, thirty-four billion, one hundred thirty million, three hundred fourteen thousand, three hundred four".