4185720240000 has 320 divisors, whose sum is σ = 14962190129040. Its totient is φ = 1030330368000.

The previous prime is 4185720239963. The next prime is 4185720240047. The reversal of 4185720240000 is 420275814.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2449212 + ... + 3790788.

Almost surely, 2^{4185720240000} is an apocalyptic number.

4185720240000 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 4185720240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481095064520).

4185720240000 is an abundant number, since it is smaller than the sum of its proper divisors (10776469889040).

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

4185720240000 is a wasteful number, since it uses less digits than its factorization.

4185720240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341627 (or 1341600 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 4185720240000 in words is "four trillion, one hundred eighty-five billion, seven hundred twenty million, two hundred forty thousand".