4095846916480 has 512 divisors, whose sum is σ = 11367073751040. Its totient is φ = 1397268480000.

The previous prime is 4095846916451. The next prime is 4095846916543. The reversal of 4095846916480 is 846196485904.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1494287910 + ... + 1494290650.

It is an arithmetic number, because the mean of its divisors is an integer number (22201315920).

Almost surely, 2^{4095846916480} is an apocalyptic number.

4095846916480 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 4095846916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683536875520).

4095846916480 is an abundant number, since it is smaller than the sum of its proper divisors (7271226834560).

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

4095846916480 is a wasteful number, since it uses less digits than its factorization.

4095846916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

The spelling of 4095846916480 in words is "four trillion, ninety-five billion, eight hundred forty-six million, nine hundred sixteen thousand, four hundred eighty".