441252252144 has 480 divisors, whose sum is σ = 1503086367744. Its totient is φ = 119189790720.

The previous prime is 441252252137. The next prime is 441252252151.

441252252144 is a `hidden beast` number, since 4 + 4 + 125 + 2 + 2 + 521 + 4 + 4 = 666.

441252252144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (441252252137) and next prime (441252252151).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 441252252099 and 441252252108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63788974 + ... + 63795890.

Almost surely, 2^441252252144 is an apocalyptic number.

441252252144 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 441252252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751543183872).

441252252144 is an abundant number, since it is smaller than the sum of its proper divisors (1061834115600).

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

441252252144 is a wasteful number, since it uses less digits than its factorization.

441252252144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7076 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 441252 and 252144, that added together give a palindrome (693396).

The spelling of 441252252144 in words is "four hundred forty-one billion, two hundred fifty-two million, two hundred fifty-two thousand, one hundred forty-four".