61444044416 has 32 divisors (see below), whose sum is σ = 127730152800. Its totient is φ = 29386280704.

The previous prime is 61444044373. The next prime is 61444044421.

61444044416 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 61444044416.

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 3 ways as a sum of consecutive naturals, for example, 10432526 + ... + 10438413.

It is an arithmetic number, because the mean of its divisors is an integer number (3991567275).

Almost surely, 2^61444044416 is an apocalyptic number.

It is an amenable number.

61444044416 is an abundant number, since it is smaller than the sum of its proper divisors (66286108384).

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

61444044416 is a wasteful number, since it uses less digits than its factorization.

61444044416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20870976 (or 20870964 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 614440 and 44416, that added together give a palindrome (658856).

The spelling of 61444044416 in words is "sixty-one billion, four hundred forty-four million, forty-four thousand, four hundred sixteen".