44034361416 has 192 divisors, whose sum is σ = 122583352320. Its totient is φ = 14277029760.

The previous prime is 44034361381. The next prime is 44034361421. The reversal of 44034361416 is 61416343044.

44034361416 is a `hidden beast` number, since 4 + 4 + 0 + 34 + 3 + 614 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167430901 + ... + 167431163.

It is an arithmetic number, because the mean of its divisors is an integer number (638454960).

Almost surely, 2^44034361416 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 44034361416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61291676160).

44034361416 is an abundant number, since it is smaller than the sum of its proper divisors (78548990904).

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

44034361416 is a wasteful number, since it uses less digits than its factorization.

44034361416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 44034 and 361416, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 44034361416 in words is "forty-four billion, thirty-four million, three hundred sixty-one thousand, four hundred sixteen".