4162832640 has 108 divisors (see below), whose sum is σ = 14403007164. Its totient is φ = 1110085632.

The previous prime is 4162832627. The next prime is 4162832671. The reversal of 4162832640 is 462382614.

4162832640 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 8 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1334294784 + 2828537856 = 36528^2 + 53184^2 .

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 = 4162832595 and 4162832604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169159 + ... + 192198.

Almost surely, 2^4162832640 is an apocalyptic number.

4162832640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4162832640 is an abundant number, since it is smaller than the sum of its proper divisors (10240174524).

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

4162832640 is a wasteful number, since it uses less digits than its factorization.

4162832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361384 (or 361367 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4162832640 is about 64520.0173589561. The cubic root of 4162832640 is about 1608.6552612727.

The spelling of 4162832640 in words is "four billion, one hundred sixty-two million, eight hundred thirty-two thousand, six hundred forty".