2401361638218 has 80 divisors (see below), whose sum is σ = 5706863553600. Its totient is φ = 752110130304.

The previous prime is 2401361638171. The next prime is 2401361638283. The reversal of 2401361638218 is 8128361631042.

2401361638218 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 3 + 6 + 1 + 638 + 2 + 1 + 8 = 666.

2401361638218 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 921805 + ... + 2377487.

It is an arithmetic number, because the mean of its divisors is an integer number (71335794420).

Almost surely, 2^{2401361638218} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401361638218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853431776800).

2401361638218 is an abundant number, since it is smaller than the sum of its proper divisors (3305501915382).

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

2401361638218 is a wasteful number, since it uses less digits than its factorization.

2401361638218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456313 (or 1456304 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2401361638218 in words is "two trillion, four hundred one billion, three hundred sixty-one million, six hundred thirty-eight thousand, two hundred eighteen".