4034411104000 has 72 divisors (see below), whose sum is σ = 10050222441168. Its totient is φ = 1613764428800.

The previous prime is 4034411103997. The next prime is 4034411104067. The reversal of 4034411104000 is 4011144304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63005674 + ... + 63069673.

It is an arithmetic number, because the mean of its divisors is an integer number (139586422794).

Almost surely, 2^{4034411104000} is an apocalyptic number.

4034411104000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034411104000 is an abundant number, since it is smaller than the sum of its proper divisors (6015811337168).

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

4034411104000 is an equidigital number, since it uses as much as digits as its factorization.

4034411104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126075378 (or 126075354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4034411104000 its reverse (4011144304), we get a palindrome (4038422248304).

The spelling of 4034411104000 in words is "four trillion, thirty-four billion, four hundred eleven million, one hundred four thousand".