4121981347680 has 2304 divisors, whose sum is σ = 18868918118400. Its totient is φ = 835044360192.

The previous prime is 4121981347667. The next prime is 4121981347717. The reversal of 4121981347680 is 867431891214.

4121981347680 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 98 + 1 + 3 + 476 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24682522957 + ... + 24682523123.

It is an arithmetic number, because the mean of its divisors is an integer number (8189634600).

Almost surely, 2^{4121981347680} is an apocalyptic number.

4121981347680 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 4121981347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434459059200).

4121981347680 is an abundant number, since it is smaller than the sum of its proper divisors (14746936770720).

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

4121981347680 is a wasteful number, since it uses less digits than its factorization.

4121981347680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 4121981347680 in words is "four trillion, one hundred twenty-one billion, nine hundred eighty-one million, three hundred forty-seven thousand, six hundred eighty".