100414412440 has 32 divisors (see below), whose sum is σ = 225957988080. Its totient is φ = 40161220992.

The previous prime is 100414412401. The next prime is 100414412489. The reversal of 100414412440 is 44214414001.

It is a congruent number.

It is an unprimeable number.

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, 227887 + ... + 502753.

Almost surely, 2^100414412440 is an apocalyptic number.

100414412440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414412440 is an abundant number, since it is smaller than the sum of its proper divisors (125543575640).

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

100414412440 is a wasteful number, since it uses less digits than its factorization.

100414412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284011 (or 284007 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 100414412440 its reverse (44214414001), we get a palindrome (144628826441).

The spelling of 100414412440 in words is "one hundred billion, four hundred fourteen million, four hundred twelve thousand, four hundred forty".