451150042400 has 144 divisors (see below), whose sum is σ = 1115087692320. Its totient is φ = 178217318400.

The previous prime is 451150042367. The next prime is 451150042417. The reversal of 451150042400 is 4240051154.

It is a self number, because there is not a number n which added to its sum of digits gives 451150042400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67423055 + ... + 67429745.

It is an arithmetic number, because the mean of its divisors is an integer number (7743664530).

Almost surely, 2^451150042400 is an apocalyptic number.

451150042400 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 451150042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557543846160).

451150042400 is an abundant number, since it is smaller than the sum of its proper divisors (663937649920).

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

451150042400 is a wasteful number, since it uses less digits than its factorization.

451150042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7734 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 451150042400 its reverse (4240051154), we get a palindrome (455390093554).

The spelling of 451150042400 in words is "four hundred fifty-one billion, one hundred fifty million, forty-two thousand, four hundred".