1669144440600 has 576 divisors, whose sum is σ = 7262256019200. Its totient is φ = 333635189760.

The previous prime is 1669144440599. The next prime is 1669144440611. The reversal of 1669144440600 is 60444419661.

1669144440600 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 144 + 440 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2844039 + ... + 3380361.

Almost surely, 2^{1669144440600} is an apocalyptic number.

1669144440600 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 1669144440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631128009600).

1669144440600 is an abundant number, since it is smaller than the sum of its proper divisors (5593111578600).

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

1669144440600 is a wasteful number, since it uses less digits than its factorization.

1669144440600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536384 (or 536372 counting only the distinct ones).

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

The spelling of 1669144440600 in words is "one trillion, six hundred sixty-nine billion, one hundred forty-four million, four hundred forty thousand, six hundred".