450434013144 has 128 divisors (see below), whose sum is σ = 1211157066240. Its totient is φ = 139251796992.

The previous prime is 450434013079. The next prime is 450434013149. The reversal of 450434013144 is 441310434054.

It is a super-3 number, since 3×450434013144³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450434013149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3182574 + ... + 3321090.

It is an arithmetic number, because the mean of its divisors is an integer number (9462164580).

Almost surely, 2^450434013144 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 450434013144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605578533120).

450434013144 is an abundant number, since it is smaller than the sum of its proper divisors (760723053096).

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

450434013144 is a wasteful number, since it uses less digits than its factorization.

450434013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138729 (or 138725 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 450434013144 its reverse (441310434054), we get a palindrome (891744447198).

The spelling of 450434013144 in words is "four hundred fifty billion, four hundred thirty-four million, thirteen thousand, one hundred forty-four".