4163325840 has 480 divisors, whose sum is σ = 15778320480. Its totient is φ = 978518016.

The previous prime is 4163325799. The next prime is 4163325863. The reversal of 4163325840 is 485233614.

4163325840 is a `hidden beast` number, since 41 + 6 + 3 + 32 + 584 + 0 = 666.

4163325840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 488056464 + 3675269376 = 22092^2 + 60624^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4163325795 and 4163325804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13133362 + ... + 13133678.

It is an arithmetic number, because the mean of its divisors is an integer number (32871501).

Almost surely, 2^4163325840 is an apocalyptic number.

4163325840 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 4163325840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889160240).

4163325840 is an abundant number, since it is smaller than the sum of its proper divisors (11614994640).

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

4163325840 is a wasteful number, since it uses less digits than its factorization.

4163325840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4163325840 is about 64523.8393154034. The cubic root of 4163325840 is about 1608.7187883237.

The spelling of 4163325840 in words is "four billion, one hundred sixty-three million, three hundred twenty-five thousand, eight hundred forty".