4095848440320 has 960 divisors, whose sum is σ = 16443119822976. Its totient is φ = 862086758400.

The previous prime is 4095848440319. The next prime is 4095848440337. The reversal of 4095848440320 is 230448485904.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2822775595 + ... + 2822777045.

Almost surely, 2^{4095848440320} is an apocalyptic number.

4095848440320 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 4095848440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221559911488).

4095848440320 is an abundant number, since it is smaller than the sum of its proper divisors (12347271382656).

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

4095848440320 is a wasteful number, since it uses less digits than its factorization.

4095848440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 4095848440320 in words is "four trillion, ninety-five billion, eight hundred forty-eight million, four hundred forty thousand, three hundred twenty".