4442612980960 has 864 divisors, whose sum is σ = 14583932375040. Its totient is φ = 1269354240000.

The previous prime is 4442612980909. The next prime is 4442612980969. The reversal of 4442612980960 is 690892162444.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442612980969) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 558744985 + ... + 558752935.

It is an arithmetic number, because the mean of its divisors is an integer number (16879551360).

Almost surely, 2^{4442612980960} is an apocalyptic number.

4442612980960 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 4442612980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291966187520).

4442612980960 is an abundant number, since it is smaller than the sum of its proper divisors (10141319394080).

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

4442612980960 is a wasteful number, since it uses less digits than its factorization.

4442612980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 4442612980960 in words is "four trillion, four hundred forty-two billion, six hundred twelve million, nine hundred eighty thousand, nine hundred sixty".