44640800418816 has 132 divisors (see below), whose sum is σ = 147313534432272. Its totient is φ = 12754514386944.

The previous prime is 44640800418793. The next prime is 44640800418839. The reversal of 44640800418816 is 61881400804644.

44640800418816 is a `hidden beast` number, since 4 + 46 + 408 + 0 + 0 + 4 + 188 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (44640800418793) and next prime (44640800418839).

It is a super-2 number, since 2×44640800418816² (a number of 28 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 345923835 + ... + 346052858.

Almost surely, 2^{44640800418816} is an apocalyptic number.

It is an amenable number.

44640800418816 is an abundant number, since it is smaller than the sum of its proper divisors (102672734013456).

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

44640800418816 is a wasteful number, since it uses less digits than its factorization.

44640800418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691976726 (or 691976705 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 44640800418816 in words is "forty-four trillion, six hundred forty billion, eight hundred million, four hundred eighteen thousand, eight hundred sixteen".