441260479296 has 252 divisors, whose sum is σ = 1584467889732. Its totient is φ = 116376293376.

The previous prime is 441260479271. The next prime is 441260479367. The reversal of 441260479296 is 692974062144.

441260479296 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 604 + 7 + 9 + 29 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176117872896 + 265142606400 = 419664^2 + 514920^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234405 + ... + 968228.

It is an arithmetic number, because the mean of its divisors is an integer number (6287570991).

Almost surely, 2^441260479296 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 441260479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792233944866).

441260479296 is an abundant number, since it is smaller than the sum of its proper divisors (1143207410436).

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

441260479296 is a wasteful number, since it uses less digits than its factorization.

441260479296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202678 (or 1202658 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 441260479296 in words is "four hundred forty-one billion, two hundred sixty million, four hundred seventy-nine thousand, two hundred ninety-six".