441354101453144 has 384 divisors, whose sum is σ = 1043460921081600. Its totient is φ = 173685980160000.

The previous prime is 441354101453137. The next prime is 441354101453233.

441354101453144 is nontrivially palindromic in base 10.

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 = 441354101453095 and 441354101453104.

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, 2704774679 + ... + 2704937849.

It is an arithmetic number, because the mean of its divisors is an integer number (2717346148650).

Almost surely, 2^{441354101453144} is an apocalyptic number.

441354101453144 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 441354101453144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521730460540800).

441354101453144 is an abundant number, since it is smaller than the sum of its proper divisors (602106819628456).

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

441354101453144 is a wasteful number, since it uses less digits than its factorization.

441354101453144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163487 (or 163472 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

It can be divided in two parts, 44135410 and 1453144, that added together give a palindrome (45588554).

The spelling of 441354101453144 in words is "four hundred forty-one trillion, three hundred fifty-four billion, one hundred one million, four hundred fifty-three thousand, one hundred forty-four".