100044131440 has 80 divisors (see below), whose sum is σ = 254327293440. Its totient is φ = 36296674560.

The previous prime is 100044131387. The next prime is 100044131449. The reversal of 100044131440 is 44131440001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100044131449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256837 + ... + 515803.

It is an arithmetic number, because the mean of its divisors is an integer number (3179091168).

Almost surely, 2^100044131440 is an apocalyptic number.

100044131440 is a gapful number since it is divisible by the number (10) 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 100044131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127163646720).

100044131440 is an abundant number, since it is smaller than the sum of its proper divisors (154283162000).

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

100044131440 is a wasteful number, since it uses less digits than its factorization.

100044131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259430 (or 259424 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100044131440 its reverse (44131440001), we get a palindrome (144175571441).

The spelling of 100044131440 in words is "one hundred billion, forty-four million, one hundred thirty-one thousand, four hundred forty".