441166328928 has 768 divisors, whose sum is σ = 1516373913600. Its totient is φ = 125191858176.

The previous prime is 441166328849. The next prime is 441166328983. The reversal of 441166328928 is 829823661144.

441166328928 is a `hidden beast` number, since 441 + 166 + 32 + 8 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606830901 + ... + 606831627.

It is an arithmetic number, because the mean of its divisors is an integer number (1974445200).

Almost surely, 2^441166328928 is an apocalyptic number.

441166328928 is a gapful number since it is divisible by the number (48) 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 441166328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758186956800).

441166328928 is an abundant number, since it is smaller than the sum of its proper divisors (1075207584672).

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

441166328928 is a wasteful number, since it uses less digits than its factorization.

441166328928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 797 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 441166328928 in words is "four hundred forty-one billion, one hundred sixty-six million, three hundred twenty-eight thousand, nine hundred twenty-eight".