4094225280 has 288 divisors, whose sum is σ = 14489546760. Its totient is φ = 1065056256.

The previous prime is 4094225257. The next prime is 4094225281. The reversal of 4094225280 is 825224904.

4094225280 is a `hidden beast` number, since 40 + 94 + 2 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4094225281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39749709 + ... + 39749811.

Almost surely, 2^4094225280 is an apocalyptic number.

4094225280 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 4094225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244773380).

4094225280 is an abundant number, since it is smaller than the sum of its proper divisors (10395321480).

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

4094225280 is a wasteful number, since it uses less digits than its factorization.

4094225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4094225280 is about 63986.1334978134. The cubic root of 4094225280 is about 1599.7688832839.

The spelling of 4094225280 in words is "four billion, ninety-four million, two hundred twenty-five thousand, two hundred eighty".