3044100004000 has 384 divisors, whose sum is σ = 8294465297664. Its totient is φ = 1088755200000.

The previous prime is 3044100003983. The next prime is 3044100004061. The reversal of 3044100004000 is 4000014403.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697705819 + ... + 697710181.

It is an arithmetic number, because the mean of its divisors is an integer number (21600170046).

Almost surely, 2^{3044100004000} 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 3044100004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147232648832).

3044100004000 is an abundant number, since it is smaller than the sum of its proper divisors (5250365293664).

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

3044100004000 is a wasteful number, since it uses less digits than its factorization.

3044100004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 3044100004000 its reverse (4000014403), we get a palindrome (3048100018403).

The spelling of 3044100004000 in words is "three trillion, forty-four billion, one hundred million, four thousand".