4158849349872 has 180 divisors, whose sum is σ = 14251839643080. Its totient is φ = 1125703547136.

The previous prime is 4158849349843. The next prime is 4158849349883. The reversal of 4158849349872 is 2789439488514.

It is a happy number.

4158849349872 is a `hidden beast` number, since 4 + 1 + 58 + 8 + 493 + 4 + 9 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4158849349872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15376623 + ... + 15644750.

It is an arithmetic number, because the mean of its divisors is an integer number (79176886906).

Almost surely, 2^{4158849349872} is an apocalyptic number.

4158849349872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4158849349872 is an abundant number, since it is smaller than the sum of its proper divisors (10092990293208).

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

4158849349872 is a wasteful number, since it uses less digits than its factorization.

4158849349872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31021420 (or 31021404 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 4158849349872 in words is "four trillion, one hundred fifty-eight billion, eight hundred forty-nine million, three hundred forty-nine thousand, eight hundred seventy-two".