4102414341000 has 128 divisors (see below), whose sum is σ = 12803959958400. Its totient is φ = 1093598764800.

The previous prime is 4102414340971. The next prime is 4102414341019. The reversal of 4102414341000 is 1434142014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8491959 + ... + 8962041.

It is an arithmetic number, because the mean of its divisors is an integer number (100030937175).

Almost surely, 2^{4102414341000} is an apocalyptic number.

4102414341000 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 4102414341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401979979200).

4102414341000 is an abundant number, since it is smaller than the sum of its proper divisors (8701545617400).

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

4102414341000 is a wasteful number, since it uses less digits than its factorization.

4102414341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473016 (or 473002 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4102414341000 its reverse (1434142014), we get a palindrome (4103848483014).

The spelling of 4102414341000 in words is "four trillion, one hundred two billion, four hundred fourteen million, three hundred forty-one thousand".