1669408138944 has 840 divisors, whose sum is σ = 6245722911120. Its totient is φ = 436995772416.

The previous prime is 1669408138943. The next prime is 1669408138961. The reversal of 1669408138944 is 4498318049661.

1669408138944 is a `hidden beast` number, since 1 + 6 + 6 + 9 + 408 + 138 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1669408138943) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 459005094 + ... + 459008730.

It is an arithmetic number, because the mean of its divisors is an integer number (7435384418).

Almost surely, 2^{1669408138944} is an apocalyptic number.

1669408138944 is a gapful number since it is divisible by the number (14) 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 1669408138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122861455560).

1669408138944 is an abundant number, since it is smaller than the sum of its proper divisors (4576314772176).

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

1669408138944 is a wasteful number, since it uses less digits than its factorization.

1669408138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 1669408138944 in words is "one trillion, six hundred sixty-nine billion, four hundred eight million, one hundred thirty-eight thousand, nine hundred forty-four".