4412584278720 has 1008 divisors, whose sum is σ = 16575320375328. Its totient is φ = 1117414932480.

The previous prime is 4412584278647. The next prime is 4412584278731. The reversal of 4412584278720 is 278724852144.

4412584278720 is a `hidden beast` number, since 4 + 4 + 12 + 584 + 27 + 8 + 7 + 20 = 666.

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 143 ways as a sum of consecutive naturals, for example, 3340335660 + ... + 3340336980.

Almost surely, 2^{4412584278720} is an apocalyptic number.

4412584278720 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 4412584278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287660187664).

4412584278720 is an abundant number, since it is smaller than the sum of its proper divisors (12162736096608).

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

4412584278720 is an equidigital number, since it uses as much as digits as its factorization.

4412584278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 4412584278720 in words is "four trillion, four hundred twelve billion, five hundred eighty-four million, two hundred seventy-eight thousand, seven hundred twenty".