4133479680 has 576 divisors, whose sum is σ = 16317987840. Its totient is φ = 982425600.

The previous prime is 4133479667. The next prime is 4133479703. The reversal of 4133479680 is 869743314.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31553215 + ... + 31553345.

It is an arithmetic number, because the mean of its divisors is an integer number (28329840).

Almost surely, 2^4133479680 is an apocalyptic number.

4133479680 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 4133479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158993920).

4133479680 is an abundant number, since it is smaller than the sum of its proper divisors (12184508160).

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

4133479680 is a wasteful number, since it uses less digits than its factorization.

4133479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4133479680 is about 64292.1432213921. The cubic root of 4133479680 is about 1604.8653568596.

The spelling of 4133479680 in words is "four billion, one hundred thirty-three million, four hundred seventy-nine thousand, six hundred eighty".