451551144000 has 448 divisors, whose sum is σ = 1722266986752. Its totient is φ = 103026688000.

The previous prime is 451551143941. The next prime is 451551144019. The reversal of 451551144000 is 441155154.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4437694 + ... + 4538306.

Almost surely, 2^451551144000 is an apocalyptic number.

451551144000 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 451551144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861133493376).

451551144000 is an abundant number, since it is smaller than the sum of its proper divisors (1270715842752).

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

451551144000 is a wasteful number, since it uses less digits than its factorization.

451551144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100671 (or 100651 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 451551144000 its reverse (441155154), we get a palindrome (451992299154).

The spelling of 451551144000 in words is "four hundred fifty-one billion, five hundred fifty-one million, one hundred forty-four thousand".