4460884128000 has 864 divisors, whose sum is σ = 16843039309824. Its totient is φ = 1132185600000.

The previous prime is 4460884127933. The next prime is 4460884128047. The reversal of 4460884128000 is 8214880644.

4460884128000 is a `hidden beast` number, since 446 + 0 + 8 + 84 + 128 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 544603905 + ... + 544612095.

Almost surely, 2^{4460884128000} is an apocalyptic number.

4460884128000 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 4460884128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421519654912).

4460884128000 is an abundant number, since it is smaller than the sum of its proper divisors (12382155181824).

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

4460884128000 is a wasteful number, since it uses less digits than its factorization.

4460884128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 4460884128000 in words is "four trillion, four hundred sixty billion, eight hundred eighty-four million, one hundred twenty-eight thousand".