18869213399040 has 480 divisors, whose sum is σ = 68303046291480. Its totient is φ = 4981948416000.

The previous prime is 18869213399021. The next prime is 18869213399063. The reversal of 18869213399040 is 4099331296881.

18869213399040 is a `hidden beast` number, since 18 + 86 + 92 + 1 + 339 + 90 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17600508527616 + 1268704871424 = 4195296^2 + 1126368^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83660820 + ... + 83886060.

Almost surely, 2^{18869213399040} is an apocalyptic number.

18869213399040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18869213399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151523145740).

18869213399040 is an abundant number, since it is smaller than the sum of its proper divisors (49433832892440).

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

18869213399040 is a wasteful number, since it uses less digits than its factorization.

18869213399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225381 (or 225352 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 18869213399040 in words is "eighteen trillion, eight hundred sixty-nine billion, two hundred thirteen million, three hundred ninety-nine thousand, forty".