451443432000000 has 3360 divisors, whose sum is σ = 1788947072434368. Its totient is φ = 100270080000000.

The previous prime is 451443431999957. The next prime is 451443432000019. The reversal of 451443432000000 is 234344154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4654055999952 + ... + 4654056000048.

Almost surely, 2^{451443432000000} is an apocalyptic number.

451443432000000 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 451443432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894473536217184).

451443432000000 is an abundant number, since it is smaller than the sum of its proper divisors (1337503640434368).

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

451443432000000 is an frugal number, since it uses more digits than its factorization.

451443432000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 451443432000000 its reverse (234344154), we get a palindrome (451443666344154).

The spelling of 451443432000000 in words is "four hundred fifty-one trillion, four hundred forty-three billion, four hundred thirty-two million", and thus it is an aban number.