100440131424444 has 120 divisors (see below), whose sum is σ = 300084906733920. Its totient is φ = 28696748719104.

The previous prime is 100440131424401. The next prime is 100440131424461. The reversal of 100440131424444 is 444424131044001.

100440131424444 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 40 + 131 + 42 + 4 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100440131424399 and 100440131424408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169570752 + ... + 170162040.

It is an arithmetic number, because the mean of its divisors is an integer number (2500707556116).

Almost surely, 2^{100440131424444} is an apocalyptic number.

100440131424444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100440131424444 is an abundant number, since it is smaller than the sum of its proper divisors (199644775309476).

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

100440131424444 is a wasteful number, since it uses less digits than its factorization.

100440131424444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666209 (or 666198 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 100440131424444 its reverse (444424131044001), we get a palindrome (544864262468445).

The spelling of 100440131424444 in words is "one hundred trillion, four hundred forty billion, one hundred thirty-one million, four hundred twenty-four thousand, four hundred forty-four".