200384466001920 has 3360 divisors, whose sum is σ = 808232641413120. Its totient is φ = 47382071869440.

The previous prime is 200384466001877. The next prime is 200384466001963. The reversal of 200384466001920 is 29100664483002.

200384466001920 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 8 + 4 + 4 + 6 + 600 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (200384466001877) and next prime (200384466001963).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1577830440897 + ... + 1577830441023.

It is an arithmetic number, because the mean of its divisors is an integer number (240545428992).

Almost surely, 2^{200384466001920} is an apocalyptic number.

200384466001920 is a gapful number since it is divisible by the number (20) 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 200384466001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404116320706560).

200384466001920 is an abundant number, since it is smaller than the sum of its proper divisors (607848175411200).

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

200384466001920 is a wasteful number, since it uses less digits than its factorization.

200384466001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 200384466001920 in words is "two hundred trillion, three hundred eighty-four billion, four hundred sixty-six million, one thousand, nine hundred twenty".