441916128 has 48 divisors (see below), whose sum is σ = 1288924560. Its totient is φ = 147305088.

The previous prime is 441916093. The next prime is 441916133. The reversal of 441916128 is 821619144.

441916128 is a `hidden beast` number, since 441 + 91 + 6 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 441916092 and 441916101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254875 + ... + 256602.

It is an arithmetic number, because the mean of its divisors is an integer number (26852595).

Almost surely, 2^441916128 is an apocalyptic number.

441916128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441916128 is an abundant number, since it is smaller than the sum of its proper divisors (847008432).

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

441916128 is a wasteful number, since it uses less digits than its factorization.

441916128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511496 (or 511482 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 441916128 is about 21021.8012548877. The cubic root of 441916128 is about 761.6929756969.

The spelling of 441916128 in words is "four hundred forty-one million, nine hundred sixteen thousand, one hundred twenty-eight".