40200011120 has 80 divisors (see below), whose sum is σ = 97115168160. Its totient is φ = 15456924672.

The previous prime is 40200011113. The next prime is 40200011153. The reversal of 40200011120 is 2111000204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×40200011120³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 488474 + ... + 564806.

It is an arithmetic number, because the mean of its divisors is an integer number (1213939602).

Almost surely, 2^40200011120 is an apocalyptic number.

40200011120 is a gapful number since it is divisible by the number (40) 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 40200011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48557584080).

40200011120 is an abundant number, since it is smaller than the sum of its proper divisors (56915157040).

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

40200011120 is a wasteful number, since it uses less digits than its factorization.

40200011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76602 (or 76596 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 40200011120 its reverse (2111000204), we get a palindrome (42311011324).

The spelling of 40200011120 in words is "forty billion, two hundred million, eleven thousand, one hundred twenty".