441664795260 has 768 divisors, whose sum is σ = 1618477056000. Its totient is φ = 99018961920.

The previous prime is 441664795211. The next prime is 441664795277. The reversal of 441664795260 is 62597466144.

441664795260 is a `hidden beast` number, since 4 + 4 + 1 + 66 + 479 + 52 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 441664795197 and 441664795206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 922055701 + ... + 922056179.

It is an arithmetic number, because the mean of its divisors is an integer number (2107392000).

Almost surely, 2^441664795260 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 441664795260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809238528000).

441664795260 is an abundant number, since it is smaller than the sum of its proper divisors (1176812260740).

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

441664795260 is a wasteful number, since it uses less digits than its factorization.

441664795260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 441664795260 in words is "four hundred forty-one billion, six hundred sixty-four million, seven hundred ninety-five thousand, two hundred sixty".