4466191020480 has 1344 divisors, whose sum is σ = 19189794447360. Its totient is φ = 973795737600.

The previous prime is 4466191020437. The next prime is 4466191020481. The reversal of 4466191020480 is 840201916644.

4466191020480 is a `hidden beast` number, since 4 + 4 + 6 + 61 + 9 + 102 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466191020481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 931812964 + ... + 931817756.

Almost surely, 2^{4466191020480} is an apocalyptic number.

4466191020480 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 4466191020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594897223680).

4466191020480 is an abundant number, since it is smaller than the sum of its proper divisors (14723603426880).

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

4466191020480 is a wasteful number, since it uses less digits than its factorization.

4466191020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4466191020480 in words is "four trillion, four hundred sixty-six billion, one hundred ninety-one million, twenty thousand, four hundred eighty".