4100244113416 has 128 divisors (see below), whose sum is σ = 8777878502400. Its totient is φ = 1777352544000.

The previous prime is 4100244113411. The next prime is 4100244113489. The reversal of 4100244113416 is 6143114420014.

It is not an unprimeable number, because it can be changed into a prime (4100244113411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085005815 + ... + 1085009593.

It is an arithmetic number, because the mean of its divisors is an integer number (68577175800).

Almost surely, 2^{4100244113416} is an apocalyptic number.

4100244113416 is a gapful number since it is divisible by the number (46) 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 4100244113416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388939251200).

4100244113416 is an abundant number, since it is smaller than the sum of its proper divisors (4677634388984).

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

4100244113416 is a wasteful number, since it uses less digits than its factorization.

4100244113416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 4100244113416 in words is "four trillion, one hundred billion, two hundred forty-four million, one hundred thirteen thousand, four hundred sixteen".