100440213440 has 112 divisors (see below), whose sum is σ = 273706571712. Its totient is φ = 34390573056.

The previous prime is 100440213439. The next prime is 100440213449. The reversal of 100440213440 is 44312044001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440213449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666064 + ... + 1725296.

It is an arithmetic number, because the mean of its divisors is an integer number (2443808676).

Almost surely, 2^100440213440 is an apocalyptic number.

100440213440 is a gapful number since it is divisible by the number (10) 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 100440213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136853285856).

100440213440 is an abundant number, since it is smaller than the sum of its proper divisors (173266358272).

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

100440213440 is an equidigital number, since it uses as much as digits as its factorization.

100440213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60014 (or 60004 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 100440213440 its reverse (44312044001), we get a palindrome (144752257441).

The spelling of 100440213440 in words is "one hundred billion, four hundred forty million, two hundred thirteen thousand, four hundred forty".