44064518641920 has 2304 divisors, whose sum is σ = 195400487116800. Its totient is φ = 9178675937280.

The previous prime is 44064518641907. The next prime is 44064518641951. The reversal of 44064518641920 is 2914681546044.

44064518641920 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 45 + 186 + 419 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13757263039 + ... + 13757266241.

It is an arithmetic number, because the mean of its divisors is an integer number (84809239200).

Almost surely, 2^{44064518641920} is an apocalyptic number.

44064518641920 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 44064518641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97700243558400).

44064518641920 is an abundant number, since it is smaller than the sum of its proper divisors (151335968474880).

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

44064518641920 is a wasteful number, since it uses less digits than its factorization.

44064518641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 44064518641920 in words is "forty-four trillion, sixty-four billion, five hundred eighteen million, six hundred forty-one thousand, nine hundred twenty".