4194601488 has 540 divisors, whose sum is σ = 15947846460. Its totient is φ = 1025418240.

The previous prime is 4194601483. The next prime is 4194601493. The reversal of 4194601488 is 8841064914.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4194601488 is a `hidden beast` number, since 41 + 9 + 460 + 148 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4194601483) and next prime (4194601493).

It can be written as a sum of positive squares in 2 ways, for example, as 2308610304 + 1885991184 = 48048^2 + 43428^2 .

It is not an unprimeable number, because it can be changed into a prime (4194601483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 246741256 + ... + 246741272.

It is an arithmetic number, because the mean of its divisors is an integer number (29533049).

Almost surely, 2^4194601488 is an apocalyptic number.

4194601488 is a gapful number since it is divisible by the number (48) 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 4194601488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973923230).

4194601488 is an abundant number, since it is smaller than the sum of its proper divisors (11753244972).

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

4194601488 is a wasteful number, since it uses less digits than its factorization.

4194601488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4194601488 is about 64765.7431672022. The cubic root of 4194601488 is about 1612.7370707506.

The spelling of 4194601488 in words is "four billion, one hundred ninety-four million, six hundred one thousand, four hundred eighty-eight".