100442441433240 has 192 divisors, whose sum is σ = 343706650560000. Its totient is φ = 25368450953472.

The previous prime is 100442441433163. The next prime is 100442441433247. The reversal of 100442441433240 is 42334144244001.

100442441433240 is a `hidden beast` number, since 1 + 0 + 0 + 44 + 244 + 1 + 4 + 332 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100442441433195 and 100442441433204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442441433247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24932451 + ... + 28679469.

It is an arithmetic number, because the mean of its divisors is an integer number (1790138805000).

Almost surely, 2^{100442441433240} is an apocalyptic number.

100442441433240 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 100442441433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171853325280000).

100442441433240 is an abundant number, since it is smaller than the sum of its proper divisors (243264209126760).

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

100442441433240 is a wasteful number, since it uses less digits than its factorization.

100442441433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750974 (or 3750967 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 100442441433240 its reverse (42334144244001), we get a palindrome (142776585677241).

The spelling of 100442441433240 in words is "one hundred trillion, four hundred forty-two billion, four hundred forty-one million, four hundred thirty-three thousand, two hundred forty".