451131525120000 has 600 divisors, whose sum is σ = 1582364854285600. Its totient is φ = 113969922048000.

The previous prime is 451131525119923. The next prime is 451131525120113. The reversal of 451131525120000 is 21525131154.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a self number, because there is not a number n which added to its sum of digits gives 451131525120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 583293546 + ... + 584066454.

Almost surely, 2^{451131525120000} is an apocalyptic number.

451131525120000 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 451131525120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791182427142800).

451131525120000 is an abundant number, since it is smaller than the sum of its proper divisors (1131233329165600).

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

451131525120000 is an frugal number, since it uses more digits than its factorization.

451131525120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772979 (or 772938 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 451131525120000 in words is "four hundred fifty-one trillion, one hundred thirty-one billion, five hundred twenty-five million, one hundred twenty thousand".