451004044501200 has 240 divisors, whose sum is σ = 1449748718929152. Its totient is φ = 119849533440000.

The previous prime is 451004044501133. The next prime is 451004044501201. The reversal of 451004044501200 is 2105440400154.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451004044501201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400190505 + ... + 401315895.

Almost surely, 2^{451004044501200} is an apocalyptic number.

451004044501200 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 451004044501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724874359464576).

451004044501200 is an abundant number, since it is smaller than the sum of its proper divisors (998744674427952).

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

451004044501200 is a wasteful number, since it uses less digits than its factorization.

451004044501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126574 (or 1126563 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 451004044501200 its reverse (2105440400154), we get a palindrome (453109484901354).

The spelling of 451004044501200 in words is "four hundred fifty-one trillion, four billion, forty-four million, five hundred one thousand, two hundred".