100344212200440 has 512 divisors, whose sum is σ = 363801831321600. Its totient is φ = 24454303211520.

The previous prime is 100344212200417. The next prime is 100344212200487. The reversal of 100344212200440 is 44002212443001.

100344212200440 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 4 + 2 + 12 + 200 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1445285007 + ... + 1445354433.

It is an arithmetic number, because the mean of its divisors is an integer number (710550451800).

Almost surely, 2^{100344212200440} is an apocalyptic number.

100344212200440 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 100344212200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181900915660800).

100344212200440 is an abundant number, since it is smaller than the sum of its proper divisors (263457619121160).

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

100344212200440 is a wasteful number, since it uses less digits than its factorization.

100344212200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70484 (or 70474 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 100344212200440 its reverse (44002212443001), we get a palindrome (144346424643441).

The spelling of 100344212200440 in words is "one hundred trillion, three hundred forty-four billion, two hundred twelve million, two hundred thousand, four hundred forty".