4034544454304 has 192 divisors, whose sum is σ = 9814210156800. Its totient is φ = 1589857320960.

The previous prime is 4034544454253. The next prime is 4034544454313.

4034544454304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4034544454304² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555935632 + ... + 1555938224.

It is an arithmetic number, because the mean of its divisors is an integer number (51115677900).

Almost surely, 2^{4034544454304} 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 4034544454304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907105078400).

4034544454304 is an abundant number, since it is smaller than the sum of its proper divisors (5779665702496).

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

4034544454304 is a wasteful number, since it uses less digits than its factorization.

4034544454304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 44.

The spelling of 4034544454304 in words is "four trillion, thirty-four billion, five hundred forty-four million, four hundred fifty-four thousand, three hundred four".