40011120000 has 480 divisors, whose sum is σ = 146393264160. Its totient is φ = 10483200000.

The previous prime is 40011119989. The next prime is 40011120013. The reversal of 40011120000 is 2111004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43919545 + ... + 43920455.

It is an arithmetic number, because the mean of its divisors is an integer number (304985967).

Almost surely, 2^40011120000 is an apocalyptic number.

40011120000 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 40011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73196632080).

40011120000 is an abundant number, since it is smaller than the sum of its proper divisors (106382144160).

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

40011120000 is an equidigital number, since it uses as much as digits as its factorization.

40011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 40011120000 its reverse (2111004), we get a palindrome (40013231004).

The spelling of 40011120000 in words is "forty billion, eleven million, one hundred twenty thousand".