4113110016 has 220 divisors, whose sum is σ = 13009511988. Its totient is φ = 1289945088.

The previous prime is 4113109993. The next prime is 4113110047. The reversal of 4113110016 is 6100113114.

It can be written as a sum of positive squares in 2 ways, for example, as 3834086400 + 279023616 = 61920^2 + 16704^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1408590 + ... + 1411506.

Almost surely, 2^4113110016 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 4113110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504755994).

4113110016 is an abundant number, since it is smaller than the sum of its proper divisors (8896401972).

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

4113110016 is a wasteful number, since it uses less digits than its factorization.

4113110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 4113110016 is about 64133.5326954628. The cubic root of 4113110016 is about 1602.2247717271.

The spelling of 4113110016 in words is "four billion, one hundred thirteen million, one hundred ten thousand, sixteen".