100414403440 has 40 divisors (see below), whose sum is σ = 251422220448. Its totient is φ = 37076087040.

The previous prime is 100414403371. The next prime is 100414403449. The reversal of 100414403440 is 44304414001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100414403440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414403449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48275116 + ... + 48277195.

Almost surely, 2^100414403440 is an apocalyptic number.

100414403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414403440 is an abundant number, since it is smaller than the sum of its proper divisors (151007817008).

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

100414403440 is a wasteful number, since it uses less digits than its factorization.

100414403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96552337 (or 96552331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 100414403440 its reverse (44304414001), we get a palindrome (144718817441).

The spelling of 100414403440 in words is "one hundred billion, four hundred fourteen million, four hundred three thousand, four hundred forty".