40041100000 has 288 divisors, whose sum is σ = 108963338400. Its totient is φ = 14361600000.

The previous prime is 40041099983. The next prime is 40041100013. The reversal of 40041100000 is 114004.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 40041100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97899796 + ... + 97900204.

It is an arithmetic number, because the mean of its divisors is an integer number (378344925).

Almost surely, 2^40041100000 is an apocalyptic number.

40041100000 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 40041100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54481669200).

40041100000 is an abundant number, since it is smaller than the sum of its proper divisors (68922238400).

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

40041100000 is an equidigital number, since it uses as much as digits as its factorization.

40041100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 40041100000 its reverse (114004), we get a palindrome (40041214004).

It can be divided in two parts, 40041 and 100000, that added together give a palindrome (140041).

The spelling of 40041100000 in words is "forty billion, forty-one million, one hundred thousand".