4234441101040 has 80 divisors (see below), whose sum is σ = 10007743838400. Its totient is φ = 1665919789056.

The previous prime is 4234441101031. The next prime is 4234441101043. The reversal of 4234441101040 is 401011444324.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234441101043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086706 + ... + 3106414.

It is an arithmetic number, because the mean of its divisors is an integer number (125096797980).

Almost surely, 2^{4234441101040} is an apocalyptic number.

4234441101040 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 4234441101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003871919200).

4234441101040 is an abundant number, since it is smaller than the sum of its proper divisors (5773302737360).

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

4234441101040 is a wasteful number, since it uses less digits than its factorization.

4234441101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020154 (or 2020148 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4234441101040 its reverse (401011444324), we get a palindrome (4635452545364).

The spelling of 4234441101040 in words is "four trillion, two hundred thirty-four billion, four hundred forty-one million, one hundred one thousand, forty".