100040332223232 has 864 divisors, whose sum is σ = 332343019008000. Its totient is φ = 28731695431680.

The previous prime is 100040332223179. The next prime is 100040332223233. The reversal of 100040332223232 is 232322233040001.

100040332223232 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 0 + 332 + 2 + 2 + 323 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100040332223196 and 100040332223205.

It is not an unprimeable number, because it can be changed into a prime (100040332223233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17740790269 + ... + 17740795907.

It is an arithmetic number, because the mean of its divisors is an integer number (384656272000).

Almost surely, 2^{100040332223232} is an apocalyptic number.

100040332223232 is a gapful number since it is divisible by the number (12) 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 100040332223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166171509504000).

100040332223232 is an abundant number, since it is smaller than the sum of its proper divisors (232302686784768).

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

100040332223232 is a wasteful number, since it uses less digits than its factorization.

100040332223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 100040332223232 its reverse (232322233040001), we get a palindrome (332362565263233).

The spelling of 100040332223232 in words is "one hundred trillion, forty billion, three hundred thirty-two million, two hundred twenty-three thousand, two hundred thirty-two".