4042116601410 has 128 divisors (see below), whose sum is σ = 10225151354880. Its totient is φ = 1021219430400.

The previous prime is 4042116601409. The next prime is 4042116601417. The reversal of 4042116601410 is 141066112404.

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

It is not an unprimeable number, because it can be changed into a prime (4042116601417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22633746 + ... + 22811634.

It is an arithmetic number, because the mean of its divisors is an integer number (79883994960).

Almost surely, 2^{4042116601410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042116601410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112575677440).

4042116601410 is an abundant number, since it is smaller than the sum of its proper divisors (6183034753470).

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

4042116601410 is a wasteful number, since it uses less digits than its factorization.

4042116601410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178444.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 4042116601410 in words is "four trillion, forty-two billion, one hundred sixteen million, six hundred one thousand, four hundred ten".