4381795169680 has 160 divisors (see below), whose sum is σ = 11345013301248. Its totient is φ = 1566281932800.

The previous prime is 4381795169641. The next prime is 4381795169681. The reversal of 4381795169680 is 869615971834.

It is not an unprimeable number, because it can be changed into a prime (4381795169681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253985 + ... + 3214975.

Almost surely, 2^{4381795169680} is an apocalyptic number.

4381795169680 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 4381795169680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5672506650624).

4381795169680 is an abundant number, since it is smaller than the sum of its proper divisors (6963218131568).

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

4381795169680 is a wasteful number, since it uses less digits than its factorization.

4381795169680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961105 (or 1961099 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 4381795169680 in words is "four trillion, three hundred eighty-one billion, seven hundred ninety-five million, one hundred sixty-nine thousand, six hundred eighty".