4185080248320 has 192 divisors, whose sum is σ = 14876653428000. Its totient is φ = 1116021325824.

The previous prime is 4185080248289. The next prime is 4185080248339. The reversal of 4185080248320 is 238420805814.

4185080248320 is a `hidden beast` number, since 4 + 1 + 8 + 5 + 0 + 80 + 248 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7292025 + ... + 7844984.

Almost surely, 2^{4185080248320} is an apocalyptic number.

4185080248320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4185080248320 is an abundant number, since it is smaller than the sum of its proper divisors (10691573179680).

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

4185080248320 is a wasteful number, since it uses less digits than its factorization.

4185080248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15137045 (or 15137019 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 4185080248320 in words is "four trillion, one hundred eighty-five billion, eighty million, two hundred forty-eight thousand, three hundred twenty".