4191927223680 has 1024 divisors, whose sum is σ = 17352990720000. Its totient is φ = 936621563904.

The previous prime is 4191927223619. The next prime is 4191927223691. The reversal of 4191927223680 is 863227291914.

4191927223680 is a `hidden beast` number, since 4 + 1 + 9 + 1 + 9 + 272 + 2 + 368 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 984249391 + ... + 984253649.

It is an arithmetic number, because the mean of its divisors is an integer number (16946280000).

Almost surely, 2^{4191927223680} is an apocalyptic number.

4191927223680 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 4191927223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676495360000).

4191927223680 is an abundant number, since it is smaller than the sum of its proper divisors (13161063496320).

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

4191927223680 is a wasteful number, since it uses less digits than its factorization.

4191927223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4191927223680 in words is "four trillion, one hundred ninety-one billion, nine hundred twenty-seven million, two hundred twenty-three thousand, six hundred eighty".