441634436144 has 80 divisors (see below), whose sum is σ = 941233926816. Its totient is φ = 199074969600.

The previous prime is 441634436141. The next prime is 441634436153.

It is a happy number.

441634436144 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×441634436144³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 441634436095 and 441634436104.

It is not an unprimeable number, because it can be changed into a prime (441634436141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14380934 + ... + 14411610.

Almost surely, 2^441634436144 is an apocalyptic number.

441634436144 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 441634436144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470616963408).

441634436144 is an abundant number, since it is smaller than the sum of its proper divisors (499599490672).

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

441634436144 is a wasteful number, since it uses less digits than its factorization.

441634436144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31374 (or 31368 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

It can be divided in two parts, 441634 and 436144, that added together give a palindrome (877778).

The spelling of 441634436144 in words is "four hundred forty-one billion, six hundred thirty-four million, four hundred thirty-six thousand, one hundred forty-four".