4491669417984 has 858 divisors, whose sum is σ = 15714361255380. Its totient is φ = 1279948013568.

The previous prime is 4491669417973. The next prime is 4491669417997. The reversal of 4491669417984 is 4897149661944.

4491669417984 is a `hidden beast` number, since 4 + 49 + 166 + 9 + 417 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 11851370307 + ... + 11851370685.

Almost surely, 2^{4491669417984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4491669417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857180627690).

4491669417984 is an abundant number, since it is smaller than the sum of its proper divisors (11222691837396).

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

4491669417984 is an frugal number, since it uses more digits than its factorization.

4491669417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 391 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 4491669417984 in words is "four trillion, four hundred ninety-one billion, six hundred sixty-nine million, four hundred seventeen thousand, nine hundred eighty-four".