40100203224032 has 288 divisors, whose sum is σ = 93940753052160. Its totient is φ = 16797041694720.

The previous prime is 40100203224013. The next prime is 40100203224047. The reversal of 40100203224032 is 23042230200104.

40100203224032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40100203223989 and 40100203224007.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5772301583 + ... + 5772308529.

It is an arithmetic number, because the mean of its divisors is an integer number (326183170320).

Almost surely, 2^{40100203224032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100203224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46970376526080).

40100203224032 is an abundant number, since it is smaller than the sum of its proper divisors (53840549828128).

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

40100203224032 is a wasteful number, since it uses less digits than its factorization.

40100203224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 40100203224032 its reverse (23042230200104), we get a palindrome (63142433424136).

The spelling of 40100203224032 in words is "forty trillion, one hundred billion, two hundred three million, two hundred twenty-four thousand, thirty-two".