638841144042 has 96 divisors (see below), whose sum is σ = 1520092486224. Its totient is φ = 193072896000.

The previous prime is 638841144037. The next prime is 638841144107. The reversal of 638841144042 is 240441148836.

638841144042 is a `hidden beast` number, since 638 + 8 + 4 + 1 + 1 + 4 + 4 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 602531460441 + 36309683601 = 776229^2 + 190551^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864192 + ... + 1422852.

Almost surely, 2^638841144042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638841144042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760046243112).

638841144042 is an abundant number, since it is smaller than the sum of its proper divisors (881251342182).

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

638841144042 is a wasteful number, since it uses less digits than its factorization.

638841144042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558824 (or 558821 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 638841144042 in words is "six hundred thirty-eight billion, eight hundred forty-one million, one hundred forty-four thousand, forty-two".