100144401440 has 24 divisors (see below), whose sum is σ = 236591148780. Its totient is φ = 40057760512.

The previous prime is 100144401403. The next prime is 100144401451. The reversal of 100144401440 is 44104441001.

It can be written as a sum of positive squares in 2 ways, for example, as 99934383376 + 210018064 = 316124^2 + 14492^2 .

It is a super-2 number, since 2×100144401440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312951095 + ... + 312951414.

Almost surely, 2^100144401440 is an apocalyptic number.

100144401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144401440 is an abundant number, since it is smaller than the sum of its proper divisors (136446747340).

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

100144401440 is an equidigital number, since it uses as much as digits as its factorization.

100144401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625902524 (or 625902516 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 100144401440 its reverse (44104441001), we get a palindrome (144248842441).

The spelling of 100144401440 in words is "one hundred billion, one hundred forty-four million, four hundred one thousand, four hundred forty".