4131684879000 has 2048 divisors, whose sum is σ = 16919122821120. Its totient is φ = 817496064000.

The previous prime is 4131684878987. The next prime is 4131684879011. The reversal of 4131684879000 is 9784861314.

4131684879000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 36563582944 + ... + 36563583056.

It is an arithmetic number, because the mean of its divisors is an integer number (8261290440).

Almost surely, 2^{4131684879000} is an apocalyptic number.

4131684879000 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 4131684879000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8459561410560).

4131684879000 is an abundant number, since it is smaller than the sum of its proper divisors (12787437942120).

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

4131684879000 is a wasteful number, since it uses less digits than its factorization.

4131684879000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 4131684879000 in words is "four trillion, one hundred thirty-one billion, six hundred eighty-four million, eight hundred seventy-nine thousand".