4416066777440 has 48 divisors (see below), whose sum is σ = 10536254411760. Its totient is φ = 1748937331200.

The previous prime is 4416066777377. The next prime is 4416066777443. The reversal of 4416066777440 is 447776606144.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416066777443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136619570 + ... + 136651889.

It is an arithmetic number, because the mean of its divisors is an integer number (219505300245).

Almost surely, 2^{4416066777440} is an apocalyptic number.

4416066777440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4416066777440 is an abundant number, since it is smaller than the sum of its proper divisors (6120187634320).

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

4416066777440 is a wasteful number, since it uses less digits than its factorization.

4416066777440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273271575 (or 273271567 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 56.

The spelling of 4416066777440 in words is "four trillion, four hundred sixteen billion, sixty-six million, seven hundred seventy-seven thousand, four hundred forty".