1669434417024 has 384 divisors, whose sum is σ = 5073128565120. Its totient is φ = 482355793920.

The previous prime is 1669434416981. The next prime is 1669434417029. The reversal of 1669434417024 is 4207144349661.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1669434417024² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1669434417029) 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 47 ways as a sum of consecutive naturals, for example, 833466007 + ... + 833468009.

It is an arithmetic number, because the mean of its divisors is an integer number (13211272305).

Almost surely, 2^{1669434417024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1669434417024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536564282560).

1669434417024 is an abundant number, since it is smaller than the sum of its proper divisors (3403694148096).

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

1669434417024 is a wasteful number, since it uses less digits than its factorization.

1669434417024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 1669434417024 in words is "one trillion, six hundred sixty-nine billion, four hundred thirty-four million, four hundred seventeen thousand, twenty-four".