44134443144 has 144 divisors (see below), whose sum is σ = 133347810960. Its totient is φ = 13174286400.

The previous prime is 44134443127. The next prime is 44134443167.

44134443144 is a `hidden beast` number, since 4 + 41 + 34 + 443 + 144 = 666.

44134443144 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44134443099 and 44134443108.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 545899 + ... + 621509.

It is an arithmetic number, because the mean of its divisors is an integer number (926026465).

Almost surely, 2^44134443144 is an apocalyptic number.

44134443144 is a gapful number since it is divisible by the number (44) 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 44134443144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66673905480).

44134443144 is an abundant number, since it is smaller than the sum of its proper divisors (89213367816).

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

44134443144 is a wasteful number, since it uses less digits than its factorization.

44134443144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75712 (or 75694 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 44134443144 in words is "forty-four billion, one hundred thirty-four million, four hundred forty-three thousand, one hundred forty-four".