4134044010000 has 200 divisors, whose sum is σ = 13352596601344. Its totient is φ = 1101804480000.

The previous prime is 4134044009983. The next prime is 4134044010011. The reversal of 4134044010000 is 104404314.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55792977 + ... + 55867023.

Almost surely, 2^{4134044010000} is an apocalyptic number.

4134044010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134044010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676298300672).

4134044010000 is an abundant number, since it is smaller than the sum of its proper divisors (9218552591344).

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

4134044010000 is a wasteful number, since it uses less digits than its factorization.

4134044010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75939 (or 75918 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4134044010000 its reverse (104404314), we get a palindrome (4134148414314).

The spelling of 4134044010000 in words is "four trillion, one hundred thirty-four billion, forty-four million, ten thousand".