200445642144 has 384 divisors, whose sum is σ = 652138905600. Its totient is φ = 59382236160.

The previous prime is 200445642139. The next prime is 200445642157. The reversal of 200445642144 is 441246544002.

200445642144 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 5 + 642 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200445642099 and 200445642108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192921177 + ... + 192922215.

It is an arithmetic number, because the mean of its divisors is an integer number (1698278400).

Almost surely, 2^200445642144 is an apocalyptic number.

200445642144 is a gapful number since it is divisible by the number (24) 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 200445642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326069452800).

200445642144 is an abundant number, since it is smaller than the sum of its proper divisors (451693263456).

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

200445642144 is a wasteful number, since it uses less digits than its factorization.

200445642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 200445642144 in words is "two hundred billion, four hundred forty-five million, six hundred forty-two thousand, one hundred forty-four".