4162643849760 has 192 divisors, whose sum is σ = 14305413556224. Its totient is φ = 1009051315200.

The previous prime is 4162643849731. The next prime is 4162643849803. The reversal of 4162643849760 is 679483462614.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4162643849694 and 4162643849703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113433015 + ... + 113469705.

It is an arithmetic number, because the mean of its divisors is an integer number (74507362272).

Almost surely, 2^{4162643849760} is an apocalyptic number.

4162643849760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4162643849760 is an abundant number, since it is smaller than the sum of its proper divisors (10142769706464).

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

4162643849760 is a wasteful number, since it uses less digits than its factorization.

4162643849760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58207 (or 58199 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 4162643849760 in words is "four trillion, one hundred sixty-two billion, six hundred forty-three million, eight hundred forty-nine thousand, seven hundred sixty".