451255205200000 has 384 divisors, whose sum is σ = 1131154617096000. Its totient is φ = 179300282880000.

The previous prime is 451255205199983. The next prime is 451255205200067. The reversal of 451255205200000 is 2502552154.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79404397159 + ... + 79404402841.

Almost surely, 2^{451255205200000} is an apocalyptic number.

451255205200000 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 451255205200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565577308548000).

451255205200000 is an abundant number, since it is smaller than the sum of its proper divisors (679899411896000).

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

451255205200000 is an equidigital number, since it uses as much as digits as its factorization.

451255205200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

Adding to 451255205200000 its reverse (2502552154), we get a palindrome (451257707752154).

The spelling of 451255205200000 in words is "four hundred fifty-one trillion, two hundred fifty-five billion, two hundred five million, two hundred thousand".