450134401024000 has 544 divisors, whose sum is σ = 1400762764657152. Its totient is φ = 140301434880000.

The previous prime is 450134401023971. The next prime is 450134401024031. The reversal of 450134401024000 is 420104431054.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 450134401024000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630427195 + ... + 631140805.

Almost surely, 2^{450134401024000} is an apocalyptic number.

450134401024000 is a gapful number since it is divisible by the number (40) 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 450134401024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700381382328576).

450134401024000 is an abundant number, since it is smaller than the sum of its proper divisors (950628363633152).

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

450134401024000 is an frugal number, since it uses more digits than its factorization.

450134401024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713676 (or 713636 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 450134401024000 its reverse (420104431054), we get a palindrome (450554505455054).

The spelling of 450134401024000 in words is "four hundred fifty trillion, one hundred thirty-four billion, four hundred one million, twenty-four thousand".