4100440014 has 72 divisors (see below), whose sum is σ = 9797828040. Its totient is φ = 1238429280.

The previous prime is 4100440009. The next prime is 4100440049.

4100440014 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687457 + ... + 693395.

It is an arithmetic number, because the mean of its divisors is an integer number (136080945).

Almost surely, 2^4100440014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100440014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898914020).

4100440014 is an abundant number, since it is smaller than the sum of its proper divisors (5697388026).

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

4100440014 is a wasteful number, since it uses less digits than its factorization.

4100440014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4100440014 is about 64034.6782142301. The cubic root of 4100440014 is about 1600.5779180545.

It can be divided in two parts, 41004 and 40014, that added together give a palindrome (81018).

The spelling of 4100440014 in words is "four billion, one hundred million, four hundred forty thousand, fourteen".