40033120100 has 18 divisors (see below), whose sum is σ = 86871870834. Its totient is φ = 16013248000.

The previous prime is 40033120091. The next prime is 40033120109. The reversal of 40033120100 is 102133004.

It is an interprime number because it is at equal distance from previous prime (40033120091) and next prime (40033120109).

It can be written as a sum of positive squares in 3 ways, for example, as 5958913636 + 34074206464 = 77194^2 + 184592^2 .

It is not an unprimeable number, because it can be changed into a prime (40033120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200165501 + ... + 200165700.

Almost surely, 2^40033120100 is an apocalyptic number.

It is an amenable number.

40033120100 is an abundant number, since it is smaller than the sum of its proper divisors (46838750734).

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

40033120100 is a wasteful number, since it uses less digits than its factorization.

40033120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400331215 (or 400331208 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 40033120100 its reverse (102133004), we get a palindrome (40135253104).

The spelling of 40033120100 in words is "forty billion, thirty-three million, one hundred twenty thousand, one hundred".