380201712490188 has 720 divisors, whose sum is σ = 1117083532229280. Its totient is φ = 112558631657472.

The previous prime is 380201712490163. The next prime is 380201712490189. The reversal of 380201712490188 is 881094217102083.

380201712490188 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 0 + 1 + 71 + 2 + 490 + 1 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (380201712490189) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17438034895 + ... + 17438056697.

It is an arithmetic number, because the mean of its divisors is an integer number (1551504905874).

Almost surely, 2^{380201712490188} is an apocalyptic number.

380201712490188 is a gapful number since it is divisible by the number (38) 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 380201712490188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558541766114640).

380201712490188 is an abundant number, since it is smaller than the sum of its proper divisors (736881819739092).

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

380201712490188 is a wasteful number, since it uses less digits than its factorization.

380201712490188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22036 (or 22006 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 380201712490188 in words is "three hundred eighty trillion, two hundred one billion, seven hundred twelve million, four hundred ninety thousand, one hundred eighty-eight".