451244442000 has 640 divisors, whose sum is σ = 1642574868480. Its totient is φ = 105623040000.

The previous prime is 451244441993. The next prime is 451244442043. The reversal of 451244442000 is 244442154.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 278717191 + ... + 278718809.

It is an arithmetic number, because the mean of its divisors is an integer number (2566523232).

Almost surely, 2^451244442000 is an apocalyptic number.

451244442000 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 451244442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821287434240).

451244442000 is an abundant number, since it is smaller than the sum of its proper divisors (1191330426480).

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

451244442000 is a wasteful number, since it uses less digits than its factorization.

451244442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 451244442000 its reverse (244442154), we get a palindrome (451488884154).

The spelling of 451244442000 in words is "four hundred fifty-one billion, two hundred forty-four million, four hundred forty-two thousand".