100441412331444 has 48 divisors (see below), whose sum is σ = 260418142353600. Its totient is φ = 33478608966048.

The previous prime is 100441412331437. The next prime is 100441412331451. The reversal of 100441412331444 is 444133214144001.

100441412331444 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 414 + 1 + 233 + 1 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (100441412331437) and next prime (100441412331451).

It is a super-2 number, since 2×100441412331444² (a number of 29 digits) contains 22 as substring.

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 = 100441412331399 and 100441412331408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23906682 + ... + 27792305.

It is an arithmetic number, because the mean of its divisors is an integer number (5425377965700).

Almost surely, 2^{100441412331444} is an apocalyptic number.

It is an amenable number.

100441412331444 is an abundant number, since it is smaller than the sum of its proper divisors (159976730022156).

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

100441412331444 is a wasteful number, since it uses less digits than its factorization.

100441412331444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51716989 (or 51716981 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 100441412331444 its reverse (444133214144001), we get a palindrome (544574626475445).

The spelling of 100441412331444 in words is "one hundred trillion, four hundred forty-one billion, four hundred twelve million, three hundred thirty-one thousand, four hundred forty-four".