1451291251200 has 1440 divisors, whose sum is σ = 6012937022400. Its totient is φ = 306519736320.

The previous prime is 1451291251171. The next prime is 1451291251211. The reversal of 1451291251200 is 21521921541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1887244416 + ... + 1887245184.

It is an arithmetic number, because the mean of its divisors is an integer number (4175650710).

Almost surely, 2^{1451291251200} is an apocalyptic number.

1451291251200 is a gapful number since it is divisible by the number (10) 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 1451291251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006468511200).

1451291251200 is an abundant number, since it is smaller than the sum of its proper divisors (4561645771200).

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

1451291251200 is a wasteful number, since it uses less digits than its factorization.

1451291251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 1451291251200 in words is "one trillion, four hundred fifty-one billion, two hundred ninety-one million, two hundred fifty-one thousand, two hundred".