44124010000 has 300 divisors, whose sum is σ = 131604894828. Its totient is φ = 14235648000.

The previous prime is 44124009967. The next prime is 44124010003. The reversal of 44124010000 is 1042144.

It can be written as a sum of positive squares in 10 ways, for example, as 20519989504 + 23604020496 = 143248^2 + 153636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (44124010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8327352 + ... + 8332648.

Almost surely, 2^44124010000 is an apocalyptic number.

44124010000 is a gapful number since it is divisible by the number (40) 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 44124010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802447414).

44124010000 is an abundant number, since it is smaller than the sum of its proper divisors (87480884828).

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

44124010000 is a wasteful number, since it uses less digits than its factorization.

44124010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 44124010000 its reverse (1042144), we get a palindrome (44125052144).

It can be divided in two parts, 441 and 24010000, that multiplied together give a square (10588410000 = 102900²).

The spelling of 44124010000 in words is "forty-four billion, one hundred twenty-four million, ten thousand".