441413686314144 has 768 divisors, whose sum is σ = 1377916741877760. Its totient is φ = 137228404469760.

The previous prime is 441413686314121. The next prime is 441413686314151.

441413686314144 is a `hidden beast` number, since 4 + 4 + 1 + 41 + 368 + 63 + 141 + 44 = 666.

441413686314144 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48491007897 + ... + 48491016999.

It is an arithmetic number, because the mean of its divisors is an integer number (1794162424320).

Almost surely, 2^{441413686314144} 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 441413686314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688958370938880).

441413686314144 is an abundant number, since it is smaller than the sum of its proper divisors (936503055563616).

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

441413686314144 is a wasteful number, since it uses less digits than its factorization.

441413686314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650 (or 9636 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 441413686314144 in words is "four hundred forty-one trillion, four hundred thirteen billion, six hundred eighty-six million, three hundred fourteen thousand, one hundred forty-four".