4394411358480 has 1440 divisors, whose sum is σ = 18185004085248. Its totient is φ = 973505433600.

The previous prime is 4394411358431. The next prime is 4394411358511. The reversal of 4394411358480 is 848531144934.

4394411358480 is a `hidden beast` number, since 4 + 3 + 9 + 4 + 41 + 13 + 584 + 8 + 0 = 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 287 ways as a sum of consecutive naturals, for example, 9532345450 + ... + 9532345910.

Almost surely, 2^{4394411358480} is an apocalyptic number.

4394411358480 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 4394411358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092502042624).

4394411358480 is an abundant number, since it is smaller than the sum of its proper divisors (13790592726768).

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

4394411358480 is a wasteful number, since it uses less digits than its factorization.

4394411358480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4394411358480 in words is "four trillion, three hundred ninety-four billion, four hundred eleven million, three hundred fifty-eight thousand, four hundred eighty".