40114044100 has 144 divisors (see below), whose sum is σ = 99043660800. Its totient is φ = 13995717120.

The previous prime is 40114044073. The next prime is 40114044109. The reversal of 40114044100 is 144041104.

It is not an unprimeable number, because it can be changed into a prime (40114044109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760581 + ... + 1783219.

It is an arithmetic number, because the mean of its divisors is an integer number (687803200).

Almost surely, 2^40114044100 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 40114044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521830400).

40114044100 is an abundant number, since it is smaller than the sum of its proper divisors (58929616700).

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

40114044100 is a wasteful number, since it uses less digits than its factorization.

40114044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22742 (or 22735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 40114044100 its reverse (144041104), we get a palindrome (40258085204).

The spelling of 40114044100 in words is "forty billion, one hundred fourteen million, forty-four thousand, one hundred".