3004111042000 has 160 divisors (see below), whose sum is σ = 7387096508064. Its totient is φ = 1181293056000.

The previous prime is 3004111041989. The next prime is 3004111042007. The reversal of 3004111042000 is 2401114003.

It can be written as a sum of positive squares in 16 ways, for example, as 2980374093376 + 23736948624 = 1726376^2 + 154068^2 .

It is a super-3 number, since 3×3004111042000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004111042007) 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, 262660282 + ... + 262671718.

Almost surely, 2^{3004111042000} 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 3004111042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693548254032).

3004111042000 is an abundant number, since it is smaller than the sum of its proper divisors (4382985466064).

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

3004111042000 is a wasteful number, since it uses less digits than its factorization.

3004111042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13674 (or 13658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 3004111042000 its reverse (2401114003), we get a palindrome (3006512156003).

The spelling of 3004111042000 in words is "three trillion, four billion, one hundred eleven million, forty-two thousand".