441481304771346 has 256 divisors, whose sum is σ = 1057898299392000. Its totient is φ = 122726633702400.

The previous prime is 441481304771317. The next prime is 441481304771347. The reversal of 441481304771346 is 643177403184144.

It is a super-2 number, since 2×441481304771346² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (441481304771347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6282518191 + ... + 6282588461.

It is an arithmetic number, because the mean of its divisors is an integer number (4132415232000).

Almost surely, 2^{441481304771346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441481304771346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528949149696000).

441481304771346 is an abundant number, since it is smaller than the sum of its proper divisors (616416994620654).

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

441481304771346 is a wasteful number, since it uses less digits than its factorization.

441481304771346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70830 (or 70816 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 441481304771346 in words is "four hundred forty-one trillion, four hundred eighty-one billion, three hundred four million, seven hundred seventy-one thousand, three hundred forty-six".