100440430400 has 42 divisors (see below), whose sum is σ = 247146237990. Its totient is φ = 40176171520.

The previous prime is 100440430381. The next prime is 100440430403. The reversal of 100440430400 is 4034044001.

It can be written as a sum of positive squares in 3 ways, for example, as 917847616 + 99522582784 = 30296^2 + 315472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440430403) 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 5 ways as a sum of consecutive naturals, for example, 31386035 + ... + 31389234.

Almost surely, 2^100440430400 is an apocalyptic number.

100440430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100440430400 is an abundant number, since it is smaller than the sum of its proper divisors (146705807590).

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

100440430400 is an equidigital number, since it uses as much as digits as its factorization.

100440430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62775291 (or 62775276 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 100440430400 its reverse (4034044001), we get a palindrome (104474474401).

The spelling of 100440430400 in words is "one hundred billion, four hundred forty million, four hundred thirty thousand, four hundred".