44106100416 has 336 divisors, whose sum is σ = 150932570880. Its totient is φ = 12050933760.

The previous prime is 44106100391. The next prime is 44106100417. The reversal of 44106100416 is 61400160144.

44106100416 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 610 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 44106100416.

It is not an unprimeable number, because it can be changed into a prime (44106100417) 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 47 ways as a sum of consecutive naturals, for example, 8799351 + ... + 8804361.

It is an arithmetic number, because the mean of its divisors is an integer number (449204080).

Almost surely, 2^44106100416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44106100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75466285440).

44106100416 is an abundant number, since it is smaller than the sum of its proper divisors (106826470464).

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

44106100416 is a wasteful number, since it uses less digits than its factorization.

44106100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 44106100416 in words is "forty-four billion, one hundred six million, one hundred thousand, four hundred sixteen".