4294901760 has 272 divisors, whose sum is σ = 14608649376. Its totient is φ = 1073741824.

The previous prime is 4294901753. The next prime is 4294901771. The reversal of 4294901760 is 671094924.

4294901760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (272).

It is a super-3 number, since 3×4294901760³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2, base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 4294901760 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16711552 + ... + 16711808.

Almost surely, 2^4294901760 is an apocalyptic number.

4294901760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 65535×65536.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4294901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304324688).

4294901760 is an abundant number, since it is smaller than the sum of its proper divisors (10313747616).

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

4294901760 is an equidigital number, since it uses as much as digits as its factorization.

4294901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 4294901760 is about 65535.4999980926. The cubic root of 4294901760 is about 1625.4904094596.

The spelling of 4294901760 in words is "four billion, two hundred ninety-four million, nine hundred one thousand, seven hundred sixty".