441078870144 has 256 divisors, whose sum is σ = 1346664384000. Its totient is φ = 126506188800.

The previous prime is 441078870139. The next prime is 441078870161.

441078870144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441078870144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 441078870093 and 441078870102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119499339 + ... + 119503029.

It is an arithmetic number, because the mean of its divisors is an integer number (5260407750).

Almost surely, 2^441078870144 is an apocalyptic number.

441078870144 is a gapful number since it is divisible by the number (44) 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 441078870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673332192000).

441078870144 is an abundant number, since it is smaller than the sum of its proper divisors (905585513856).

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

441078870144 is a wasteful number, since it uses less digits than its factorization.

441078870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 441078870144 in words is "four hundred forty-one billion, seventy-eight million, eight hundred seventy thousand, one hundred forty-four".