4643081404416 has 1080 divisors, whose sum is σ = 17012395720320. Its totient is φ = 1194138796032.

The previous prime is 4643081404393. The next prime is 4643081404421. The reversal of 4643081404416 is 6144041803464.

4643081404416 is a `hidden beast` number, since 4 + 64 + 3 + 0 + 8 + 140 + 441 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7500938955 + ... + 7500939573.

Almost surely, 2^{4643081404416} 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 4643081404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8506197860160).

4643081404416 is an abundant number, since it is smaller than the sum of its proper divisors (12369314315904).

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

4643081404416 is a wasteful number, since it uses less digits than its factorization.

4643081404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4643081404416 in words is "four trillion, six hundred forty-three billion, eighty-one million, four hundred four thousand, four hundred sixteen".