451243130400 has 216 divisors, whose sum is σ = 1598211551664. Its totient is φ = 119800972800.

The previous prime is 451243130383. The next prime is 451243130411. The reversal of 451243130400 is 4031342154.

It is a happy number.

451243130400 is a `hidden beast` number, since 4 + 5 + 1 + 243 + 13 + 0 + 400 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1496355 + ... + 1772445.

It is an arithmetic number, because the mean of its divisors is an integer number (7399127554).

Almost surely, 2^451243130400 is an apocalyptic number.

451243130400 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 451243130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799105775832).

451243130400 is an abundant number, since it is smaller than the sum of its proper divisors (1146968421264).

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

451243130400 is a wasteful number, since it uses less digits than its factorization.

451243130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276344 (or 276328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 451243130400 its reverse (4031342154), we get a palindrome (455274472554).

It can be divided in two parts, 45124 and 3130400, that added together give a square (3175524 = 1782²).

The spelling of 451243130400 in words is "four hundred fifty-one billion, two hundred forty-three million, one hundred thirty thousand, four hundred".