44001321120 has 384 divisors, whose sum is σ = 156274272000. Its totient is φ = 11562356736.

The previous prime is 44001321061. The next prime is 44001321131. The reversal of 44001321120 is 2112310044.

44001321120 is a `hidden beast` number, since 440 + 0 + 13 + 211 + 2 + 0 = 666.

It is a super-2 number, since 2×44001321120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44001321093 and 44001321102.

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 63 ways as a sum of consecutive naturals, for example, 126804787 + ... + 126805133.

It is an arithmetic number, because the mean of its divisors is an integer number (406964250).

Almost surely, 2^44001321120 is an apocalyptic number.

44001321120 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 44001321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78137136000).

44001321120 is an abundant number, since it is smaller than the sum of its proper divisors (112272950880).

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

44001321120 is a wasteful number, since it uses less digits than its factorization.

44001321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 44001321120 its reverse (2112310044), we get a palindrome (46113631164).

The spelling of 44001321120 in words is "forty-four billion, one million, three hundred twenty-one thousand, one hundred twenty".