4601378287872 has 216 divisors, whose sum is σ = 13312913822208. Its totient is φ = 1528482816000.

The previous prime is 4601378287817. The next prime is 4601378287879. The reversal of 4601378287872 is 2787828731064.

It is a happy number.

4601378287872 is a `hidden beast` number, since 460 + 1 + 3 + 78 + 28 + 7 + 87 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4601378287879) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1095303372 + ... + 1095307572.

It is an arithmetic number, because the mean of its divisors is an integer number (61633860288).

Almost surely, 2^{4601378287872} 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 4601378287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656456911104).

4601378287872 is an abundant number, since it is smaller than the sum of its proper divisors (8711535534336).

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

4601378287872 is a wasteful number, since it uses less digits than its factorization.

4601378287872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 4601378287872 in words is "four trillion, six hundred one billion, three hundred seventy-eight million, two hundred eighty-seven thousand, eight hundred seventy-two".