451145224460400 has 60 divisors (see below), whose sum is σ = 1445168535691992. Its totient is φ = 120305393189120.

The previous prime is 451145224460387. The next prime is 451145224460401. The reversal of 451145224460400 is 4064422541154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451145224460401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187977175659 + ... + 187977178058.

Almost surely, 2^{451145224460400} is an apocalyptic number.

451145224460400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451145224460400 is an abundant number, since it is smaller than the sum of its proper divisors (994023311231592).

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

451145224460400 is a wasteful number, since it uses less digits than its factorization.

451145224460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375954353738 (or 375954353727 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 451145224460400 in words is "four hundred fifty-one trillion, one hundred forty-five billion, two hundred twenty-four million, four hundred sixty thousand, four hundred".