1689202045440 has 800 divisors, whose sum is σ = 7446468395520. Its totient is φ = 356399087616.

The previous prime is 1689202045387. The next prime is 1689202045483. The reversal of 1689202045440 is 445402029861.

It is a happy number.

1689202045440 is a `hidden beast` number, since 1 + 6 + 89 + 2 + 0 + 20 + 4 + 544 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 18825001 + ... + 18914519.

Almost surely, 2^{1689202045440} is an apocalyptic number.

1689202045440 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 1689202045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723234197760).

1689202045440 is an abundant number, since it is smaller than the sum of its proper divisors (5757266350080).

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

1689202045440 is an equidigital number, since it uses as much as digits as its factorization.

1689202045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89574 (or 89549 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1689202045440 in words is "one trillion, six hundred eighty-nine billion, two hundred two million, forty-five thousand, four hundred forty".