4193280000000 has 1632 divisors, whose sum is σ = 18636610102656. Its totient is φ = 884736000000.

The previous prime is 4193279999971. The next prime is 4193280000053. The reversal of 4193280000000 is 823914.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 26000 × 25200 × 6400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322559999994 + ... + 322560000006.

Almost surely, 2^{4193280000000} is an apocalyptic number.

4193280000000 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 4193280000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9318305051328).

4193280000000 is an abundant number, since it is smaller than the sum of its proper divisors (14443330102656).

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

4193280000000 is an frugal number, since it uses more digits than its factorization.

4193280000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 4193280000000 its reverse (823914), we get a palindrome (4193280823914).

The spelling of 4193280000000 in words is "four trillion, one hundred ninety-three billion, two hundred eighty million", and thus it is an aban number.