40130300100 has 144 divisors (see below), whose sum is σ = 126752262336. Its totient is φ = 9721920000.

The previous prime is 40130300081. The next prime is 40130300107. The reversal of 40130300100 is 100303104.

It is a super-2 number, since 2×40130300100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (40130300107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6270102 + ... + 6276498.

It is an arithmetic number, because the mean of its divisors is an integer number (880224044).

Almost surely, 2^40130300100 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 40130300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63376131168).

40130300100 is an abundant number, since it is smaller than the sum of its proper divisors (86621962236).

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

40130300100 is a wasteful number, since it uses less digits than its factorization.

40130300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 40130300100 its reverse (100303104), we get a palindrome (40230603204).

The spelling of 40130300100 in words is "forty billion, one hundred thirty million, three hundred thousand, one hundred".