101609840640 has 448 divisors, whose sum is σ = 405396679680. Its totient is φ = 21111767040.

The previous prime is 101609840597. The next prime is 101609840659. The reversal of 101609840640 is 46048906101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9456391 + ... + 9467129.

Almost surely, 2^101609840640 is an apocalyptic number.

101609840640 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 101609840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202698339840).

101609840640 is an abundant number, since it is smaller than the sum of its proper divisors (303786839040).

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

101609840640 is a wasteful number, since it uses less digits than its factorization.

101609840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10791 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

It can be divided in two parts, 101609 and 840640, that added together give a palindrome (942249).

The spelling of 101609840640 in words is "one hundred one billion, six hundred nine million, eight hundred forty thousand, six hundred forty".