4163349840 has 80 divisors (see below), whose sum is σ = 13899193728. Its totient is φ = 1024823808.

The previous prime is 4163349833. The next prime is 4163349859. The reversal of 4163349840 is 489433614.

4163349840 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4163349792 and 4163349801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664084 + ... + 670323.

Almost surely, 2^4163349840 is an apocalyptic number.

4163349840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4163349840 is an abundant number, since it is smaller than the sum of its proper divisors (9735843888).

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

4163349840 is a wasteful number, since it uses less digits than its factorization.

4163349840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334436 (or 1334430 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4163349840 is about 64524.0252929093. The cubic root of 4163349840 is about 1608.7218795364.

The spelling of 4163349840 in words is "four billion, one hundred sixty-three million, three hundred forty-nine thousand, eight hundred forty".