451153612800 has 936 divisors, whose sum is σ = 1779673379328. Its totient is φ = 108331008000.

The previous prime is 451153612747. The next prime is 451153612807. The reversal of 451153612800 is 8216351154.

451153612800 is a `hidden beast` number, since 4 + 5 + 1 + 15 + 361 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451153612807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1936281484 + ... + 1936281716.

It is an arithmetic number, because the mean of its divisors is an integer number (1901360448).

Almost surely, 2^451153612800 is an apocalyptic number.

451153612800 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 451153612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889836689664).

451153612800 is an abundant number, since it is smaller than the sum of its proper divisors (1328519766528).

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

451153612800 is a wasteful number, since it uses less digits than its factorization.

451153612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 451153612800 its reverse (8216351154), we get a palindrome (459369963954).

The spelling of 451153612800 in words is "four hundred fifty-one billion, one hundred fifty-three million, six hundred twelve thousand, eight hundred".