451227662094400 has 189 divisors, whose sum is σ = 1134528550454109. Its totient is φ = 176635195215360.

The previous prime is 451227662094367. The next prime is 451227662094401. The reversal of 451227662094400 is 4490266722154.

The square root of 451227662094400 is 21242120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 162441958353984 + 288785703740416 = 12745272^2 + 16993696^2 .

It is a super-2 number, since 2×451227662094400² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (451227662094401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39935179951 + ... + 39935191249.

Almost surely, 2^{451227662094400} is an apocalyptic number.

451227662094400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

451227662094400 is the 21242120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451227662094400

451227662094400 is an abundant number, since it is smaller than the sum of its proper divisors (683300888359709).

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

451227662094400 is an frugal number, since it uses more digits than its factorization.

451227662094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22714 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 451227662094400 in words is "four hundred fifty-one trillion, two hundred twenty-seven billion, six hundred sixty-two million, ninety-four thousand, four hundred".