4011434220000 has 480 divisors, whose sum is σ = 13297020216480. Its totient is φ = 1058503680000.

The previous prime is 4011434219987. The next prime is 4011434220007. The reversal of 4011434220000 is 224341104.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011434220007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2486939194 + ... + 2486940806.

It is an arithmetic number, because the mean of its divisors is an integer number (27702125451).

Almost surely, 2^{4011434220000} is an apocalyptic number.

4011434220000 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 4011434220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648510108240).

4011434220000 is an abundant number, since it is smaller than the sum of its proper divisors (9285585996480).

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

4011434220000 is a wasteful number, since it uses less digits than its factorization.

4011434220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2033 counting only the distinct ones).

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

Adding to 4011434220000 its reverse (224341104), we get a palindrome (4011658561104).

The spelling of 4011434220000 in words is "four trillion, eleven billion, four hundred thirty-four million, two hundred twenty thousand".