100315433440000 has 360 divisors, whose sum is σ = 253824941018880. Its totient is φ = 39550124544000.

The previous prime is 100315433439971. The next prime is 100315433440009. The reversal of 100315433440000 is 44334513001.

It is not an unprimeable number, because it can be changed into a prime (100315433440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5829911397 + ... + 5829928603.

It is an arithmetic number, because the mean of its divisors is an integer number (705069280608).

Almost surely, 2^{100315433440000} is an apocalyptic number.

100315433440000 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 100315433440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126912470509440).

100315433440000 is an abundant number, since it is smaller than the sum of its proper divisors (153509507578880).

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

100315433440000 is an frugal number, since it uses more digits than its factorization.

100315433440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17765 (or 17736 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 100315433440000 its reverse (44334513001), we get a palindrome (100359767953001).

The spelling of 100315433440000 in words is "one hundred trillion, three hundred fifteen billion, four hundred thirty-three million, four hundred forty thousand".