4102414001010 has 96 divisors (see below), whose sum is σ = 11491611663168. Its totient is φ = 1009398395520.

The previous prime is 4102414000987. The next prime is 4102414001051. The reversal of 4102414001010 is 101004142014.

4102414001010 is a `hidden beast` number, since 4 + 1 + 0 + 241 + 400 + 10 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2034649 + ... + 3513491.

It is an arithmetic number, because the mean of its divisors is an integer number (119704288158).

Almost surely, 2^{4102414001010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102414001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745805831584).

4102414001010 is an abundant number, since it is smaller than the sum of its proper divisors (7389197662158).

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

4102414001010 is a wasteful number, since it uses less digits than its factorization.

4102414001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481240 (or 1481237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4102414001010 its reverse (101004142014), we get a palindrome (4203418143024).

The spelling of 4102414001010 in words is "four trillion, one hundred two billion, four hundred fourteen million, one thousand, ten".