44005160640 has 224 divisors, whose sum is σ = 159804933120. Its totient is φ = 10050195456.

The previous prime is 44005160621. The next prime is 44005160651. The reversal of 44005160640 is 4606150044.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44005160598 and 44005160607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13256901 + ... + 13260219.

It is an arithmetic number, because the mean of its divisors is an integer number (713414880).

Almost surely, 2^44005160640 is an apocalyptic number.

44005160640 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 44005160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902466560).

44005160640 is an abundant number, since it is smaller than the sum of its proper divisors (115799772480).

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

44005160640 is a wasteful number, since it uses less digits than its factorization.

44005160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 44005160640 in words is "forty-four billion, five million, one hundred sixty thousand, six hundred forty".