20100440313440 has 96 divisors (see below), whose sum is σ = 48067289174016. Its totient is φ = 7942006955520.

The previous prime is 20100440313223. The next prime is 20100440313451. The reversal of 20100440313440 is 4431304400102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83158199 + ... + 83399561.

It is an arithmetic number, because the mean of its divisors is an integer number (500700928896).

Almost surely, 2^{20100440313440} is an apocalyptic number.

20100440313440 is a gapful number since it is divisible by the number (20) 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 20100440313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24033644587008).

20100440313440 is an abundant number, since it is smaller than the sum of its proper divisors (27966848860576).

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

20100440313440 is a wasteful number, since it uses less digits than its factorization.

20100440313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247732 (or 247724 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 20100440313440 its reverse (4431304400102), we get a palindrome (24531744713542).

The spelling of 20100440313440 in words is "twenty trillion, one hundred billion, four hundred forty million, three hundred thirteen thousand, four hundred forty".