4341134441100 has 144 divisors (see below), whose sum is σ = 13108837980672. Its totient is φ = 1107102205440.

The previous prime is 4341134441081. The next prime is 4341134441131. The reversal of 4341134441100 is 11444311434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39848304 + ... + 39957096.

It is an arithmetic number, because the mean of its divisors is an integer number (91033597088).

Almost surely, 2^{4341134441100} 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 4341134441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554418990336).

4341134441100 is an abundant number, since it is smaller than the sum of its proper divisors (8767703539572).

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

4341134441100 is a wasteful number, since it uses less digits than its factorization.

4341134441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114616 (or 114609 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 4341134441100 its reverse (11444311434), we get a palindrome (4352578752534).

The spelling of 4341134441100 in words is "four trillion, three hundred forty-one billion, one hundred thirty-four million, four hundred forty-one thousand, one hundred".