451450240000 has 220 divisors, whose sum is σ = 1142116280800. Its totient is φ = 178274304000.

The previous prime is 451450239943. The next prime is 451450240009. The reversal of 451450240000 is 42054154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451450240009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 50555536 + ... + 50564464.

It is an arithmetic number, because the mean of its divisors is an integer number (5191437640).

Almost surely, 2^451450240000 is an apocalyptic number.

451450240000 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 451450240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571058140400).

451450240000 is an abundant number, since it is smaller than the sum of its proper divisors (690666040800).

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

451450240000 is an frugal number, since it uses more digits than its factorization.

451450240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 451450240000 its reverse (42054154), we get a palindrome (451492294154).

The spelling of 451450240000 in words is "four hundred fifty-one billion, four hundred fifty million, two hundred forty thousand".