4095472358800 has 120 divisors (see below), whose sum is σ = 10269421286400. Its totient is φ = 1566619929600.

The previous prime is 4095472358737. The next prime is 4095472358833. The reversal of 4095472358800 is 88532745904.

4095472358800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44104420 + ... + 44197180.

It is an arithmetic number, because the mean of its divisors is an integer number (85578510720).

Almost surely, 2^{4095472358800} is an apocalyptic number.

4095472358800 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 4095472358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134710643200).

4095472358800 is an abundant number, since it is smaller than the sum of its proper divisors (6173948927600).

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

4095472358800 is a wasteful number, since it uses less digits than its factorization.

4095472358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97601 (or 97590 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 4095472358800 in words is "four trillion, ninety-five billion, four hundred seventy-two million, three hundred fifty-eight thousand, eight hundred".