44102627772 has 144 divisors (see below), whose sum is σ = 127831173120. Its totient is φ = 11773641600.

The previous prime is 44102627759. The next prime is 44102627783. The reversal of 44102627772 is 27772620144.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 486897 + ... + 570327.

It is an arithmetic number, because the mean of its divisors is an integer number (887716480).

Almost surely, 2^44102627772 is an apocalyptic number.

44102627772 is a gapful number since it is divisible by the number (42) 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 44102627772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63915586560).

44102627772 is an abundant number, since it is smaller than the sum of its proper divisors (83728545348).

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

44102627772 is a wasteful number, since it uses less digits than its factorization.

44102627772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83512 (or 83503 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 44102627772 in words is "forty-four billion, one hundred two million, six hundred twenty-seven thousand, seven hundred seventy-two".