4114344960 has 264 divisors, whose sum is σ = 15554023056. Its totient is φ = 997294080.

The previous prime is 4114344931. The next prime is 4114344961. The reversal of 4114344960 is 694434114.

It is a happy number.

4114344960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4114344961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502822 + ... + 510938.

It is an arithmetic number, because the mean of its divisors is an integer number (58916754).

Almost surely, 2^4114344960 is an apocalyptic number.

4114344960 is a gapful number since it is divisible by the number (40) 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 4114344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777011528).

4114344960 is an abundant number, since it is smaller than the sum of its proper divisors (11439678096).

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

4114344960 is a wasteful number, since it uses less digits than its factorization.

4114344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8159 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4114344960 is about 64143.1598847453. The cubic root of 4114344960 is about 1602.3851094331.

The spelling of 4114344960 in words is "four billion, one hundred fourteen million, three hundred forty-four thousand, nine hundred sixty".