19685452861440 has 624 divisors, whose sum is σ = 73202377248000. Its totient is φ = 5068401278976.

The previous prime is 19685452861439. The next prime is 19685452861453. The reversal of 19685452861440 is 4416825458691.

19685452861440 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 5 + 4 + 5 + 2 + 8 + 614 + 4 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 144254361 + ... + 144390759.

It is an arithmetic number, because the mean of its divisors is an integer number (117311502000).

Almost surely, 2^{19685452861440} is an apocalyptic number.

19685452861440 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 19685452861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36601188624000).

19685452861440 is an abundant number, since it is smaller than the sum of its proper divisors (53516924386560).

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

19685452861440 is an equidigital number, since it uses as much as digits as its factorization.

19685452861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136472 (or 136438 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 19685452861440 in words is "nineteen trillion, six hundred eighty-five billion, four hundred fifty-two million, eight hundred sixty-one thousand, four hundred forty".