4431778560 has 432 divisors, whose sum is σ = 17155520928. Its totient is φ = 1046937600.

The previous prime is 4431778553. The next prime is 4431778591. The reversal of 4431778560 is 658771344.

4431778560 is a `hidden beast` number, since 4 + 4 + 3 + 17 + 78 + 560 = 666.

It is a super-3 number, since 3×4431778560³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5195094 + ... + 5195946.

It is an arithmetic number, because the mean of its divisors is an integer number (39711854).

Almost surely, 2^4431778560 is an apocalyptic number.

4431778560 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 4431778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8577760464).

4431778560 is an abundant number, since it is smaller than the sum of its proper divisors (12723742368).

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

4431778560 is a wasteful number, since it uses less digits than its factorization.

4431778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4431778560 is about 66571.6047575841. The cubic root of 4431778560 is about 1642.5780590217.

The spelling of 4431778560 in words is "four billion, four hundred thirty-one million, seven hundred seventy-eight thousand, five hundred sixty".