44102020144 has 80 divisors (see below), whose sum is σ = 105281386560. Its totient is φ = 17427870720.

The previous prime is 44102020099. The next prime is 44102020163.

44102020144 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44102020144³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354002 + ... + 1386190.

It is an arithmetic number, because the mean of its divisors is an integer number (1316017332).

Almost surely, 2^44102020144 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 44102020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52640693280).

44102020144 is an abundant number, since it is smaller than the sum of its proper divisors (61179366416).

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

44102020144 is a wasteful number, since it uses less digits than its factorization.

44102020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33158 (or 33152 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 441020 and 20144, that added together give a palindrome (461164).

The spelling of 44102020144 in words is "forty-four billion, one hundred two million, twenty thousand, one hundred forty-four".