4116564480 has 240 divisors, whose sum is σ = 15310136160. Its totient is φ = 940843008.

The previous prime is 4116564457. The next prime is 4116564503. The reversal of 4116564480 is 844656114.

It is an interprime number because it is at equal distance from previous prime (4116564457) and next prime (4116564503).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4116564480² = 33892206235995340800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370851 + ... + 381789.

It is an arithmetic number, because the mean of its divisors is an integer number (63792234).

Almost surely, 2^4116564480 is an apocalyptic number.

4116564480 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 4116564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655068080).

4116564480 is an abundant number, since it is smaller than the sum of its proper divisors (11193571680).

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

4116564480 is a wasteful number, since it uses less digits than its factorization.

4116564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10956 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4116564480 is about 64160.4588512271. The cubic root of 4116564480 is about 1602.6731979373.

The spelling of 4116564480 in words is "four billion, one hundred sixteen million, five hundred sixty-four thousand, four hundred eighty".