441086053408 has 864 divisors, whose sum is σ = 1293980365440. Its totient is φ = 145190707200.

The previous prime is 441086053403. The next prime is 441086053453. The reversal of 441086053408 is 804350680144.

It is a super-2 number, since 2×441086053408² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (441086053403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4956023028 + ... + 4956023116.

It is an arithmetic number, because the mean of its divisors is an integer number (1497662460).

Almost surely, 2^441086053408 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 441086053408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646990182720).

441086053408 is an abundant number, since it is smaller than the sum of its proper divisors (852894312032).

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

441086053408 is a wasteful number, since it uses less digits than its factorization.

441086053408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 441086053408 in words is "four hundred forty-one billion, eighty-six million, fifty-three thousand, four hundred eight".