100443040452000 has 288 divisors, whose sum is σ = 357465355752960. Its totient is φ = 26710197849600.

The previous prime is 100443040451993. The next prime is 100443040452037. The reversal of 100443040452000 is 254040344001.

It is a happy number.

100443040452000 is a `hidden beast` number, since 10 + 0 + 4 + 43 + 0 + 404 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9038089 + ... + 16809911.

It is an arithmetic number, because the mean of its divisors is an integer number (1241199151920).

Almost surely, 2^{100443040452000} is an apocalyptic number.

100443040452000 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 100443040452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178732677876480).

100443040452000 is an abundant number, since it is smaller than the sum of its proper divisors (257022315300960).

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

100443040452000 is a wasteful number, since it uses less digits than its factorization.

100443040452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772213 (or 7772192 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 100443040452000 its reverse (254040344001), we get a palindrome (100697080796001).

The spelling of 100443040452000 in words is "one hundred trillion, four hundred forty-three billion, forty million, four hundred fifty-two thousand".