4444661514240 has 256 divisors, whose sum is σ = 15803015529600. Its totient is φ = 1185241890816.

The previous prime is 4444661514211. The next prime is 4444661514289. The reversal of 4444661514240 is 424151664444.

4444661514240 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 6 + 615 + 1 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3921309 + ... + 4926051.

Almost surely, 2^{4444661514240} is an apocalyptic number.

4444661514240 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 4444661514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901507764800).

4444661514240 is an abundant number, since it is smaller than the sum of its proper divisors (11358354015360).

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

4444661514240 is an equidigital number, since it uses as much as digits as its factorization.

4444661514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004787 (or 1004753 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 4444661514240 in words is "four trillion, four hundred forty-four billion, six hundred sixty-one million, five hundred fourteen thousand, two hundred forty".