450200041200 has 2400 divisors, whose sum is σ = 2104176324096. Its totient is φ = 89669099520.

The previous prime is 450200041199. The next prime is 450200041217. The reversal of 450200041200 is 2140002054.

450200041200 is a `hidden beast` number, since 4 + 50 + 200 + 0 + 412 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6719403567 + ... + 6719403633.

Almost surely, 2^450200041200 is an apocalyptic number.

450200041200 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 450200041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052088162048).

450200041200 is an abundant number, since it is smaller than the sum of its proper divisors (1653976282896).

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

450200041200 is a wasteful number, since it uses less digits than its factorization.

450200041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 450200041200 its reverse (2140002054), we get a palindrome (452340043254).

The spelling of 450200041200 in words is "four hundred fifty billion, two hundred million, forty-one thousand, two hundred".