4116264480 has 144 divisors (see below), whose sum is σ = 14567140224. Its totient is φ = 1097660160.

The previous prime is 4116264457. The next prime is 4116264487. The reversal of 4116264480 is 844626114.

It is a happy number.

4116264480 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 2 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (4116264487) 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, 14056 + ... + 91815.

It is an arithmetic number, because the mean of its divisors is an integer number (101160696).

Almost surely, 2^4116264480 is an apocalyptic number.

4116264480 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 4116264480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283570112).

4116264480 is an abundant number, since it is smaller than the sum of its proper divisors (10450875744).

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

4116264480 is a wasteful number, since it uses less digits than its factorization.

4116264480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105901 (or 105881 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4116264480 is about 64158.1209201142. The cubic root of 4116264480 is about 1602.6342646924.

The spelling of 4116264480 in words is "four billion, one hundred sixteen million, two hundred sixty-four thousand, four hundred eighty".