100444055040 has 240 divisors, whose sum is σ = 397561795488. Its totient is φ = 22958604288.

The previous prime is 100444054999. The next prime is 100444055077. The reversal of 100444055040 is 40550444001.

100444055040 is a `hidden beast` number, since 100 + 4 + 4 + 4 + 0 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 100444054995 and 100444055013.

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 23 ways as a sum of consecutive naturals, for example, 150117 + ... + 472676.

Almost surely, 2^100444055040 is an apocalyptic number.

100444055040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100444055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198780897744).

100444055040 is an abundant number, since it is smaller than the sum of its proper divisors (297117740448).

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

100444055040 is an equidigital number, since it uses as much as digits as its factorization.

100444055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622829 (or 622810 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 100444055040 its reverse (40550444001), we get a palindrome (140994499041).

The spelling of 100444055040 in words is "one hundred billion, four hundred forty-four million, fifty-five thousand, forty".