4190217127680 has 72 divisors (see below), whose sum is σ = 13382505963792. Its totient is φ = 1117391233024.

The previous prime is 4190217127631. The next prime is 4190217127687. The reversal of 4190217127680 is 867217120914.

4190217127680 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190217127687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545597349 + ... + 545605028.

It is an arithmetic number, because the mean of its divisors is an integer number (185868138386).

Almost surely, 2^{4190217127680} is an apocalyptic number.

4190217127680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4190217127680 is an abundant number, since it is smaller than the sum of its proper divisors (9192288836112).

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

4190217127680 is a wasteful number, since it uses less digits than its factorization.

4190217127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091202401 (or 1091202387 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 4190217127680 in words is "four trillion, one hundred ninety billion, two hundred seventeen million, one hundred twenty-seven thousand, six hundred eighty".