4291600896 has 360 divisors, whose sum is σ = 14008634640. Its totient is φ = 1263144960.

The previous prime is 4291600849. The next prime is 4291600949. The reversal of 4291600896 is 6980061924.

It is a happy number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23975335 + ... + 23975513.

It is an arithmetic number, because the mean of its divisors is an integer number (38912874).

Almost surely, 2^4291600896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4291600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004317320).

4291600896 is an abundant number, since it is smaller than the sum of its proper divisors (9717033744).

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

4291600896 is a wasteful number, since it uses less digits than its factorization.

4291600896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4291600896 is about 65510.3113715696. The cubic root of 4291600896 is about 1625.0738770042.

The spelling of 4291600896 in words is "four billion, two hundred ninety-one million, six hundred thousand, eight hundred ninety-six".