451153213110400 has 48 divisors (see below), whose sum is σ = 1114489421769690. Its totient is φ = 180461285242880.

The previous prime is 451153213110389. The next prime is 451153213110407. The reversal of 451153213110400 is 4011312351154.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 275520958182976 + 175632254927424 = 16598824^2 + 13252632^2 .

It is not an unprimeable number, because it can be changed into a prime (451153213110407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70492686349 + ... + 70492692748.

Almost surely, 2^{451153213110400} is an apocalyptic number.

451153213110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451153213110400 is an abundant number, since it is smaller than the sum of its proper divisors (663336208659290).

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

451153213110400 is a wasteful number, since it uses less digits than its factorization.

451153213110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140985379121 (or 140985379104 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 451153213110400 its reverse (4011312351154), we get a palindrome (455164525461554).

The spelling of 451153213110400 in words is "four hundred fifty-one trillion, one hundred fifty-three billion, two hundred thirteen million, one hundred ten thousand, four hundred".